1. A motorboat can cover a distance of 14.4 km downstream and 6.4 km upstream in 4 hours. It can also cover 3 km downstream and 1.2 km upstream in 48 minutes. What is the speed of the boat in still water(in km/hr)?

एक नाव 4 घंटे में 14.4 किमी धारा के अनुकूल और 6.4 किमी धारा के प्रतिकूल दूरी तय कर सकती है तथा वह 48 मिनट में 3 किमी धारा के अनुकूल और 1.2 किमी धारा प्रतिकुल तय कर सकती हैं। स्थिर पानी में नाव की चाल (किमी/घंटा) में कितनी है?

Option “C” is correct.

Given:

A motorboat covers a distance of 14.4 km downstream and 6.4 km upstream in 4 hours.

It also covers 3 km downstream and 1.2 km upstream in 48 minutes.

Concept:

The direction along the stream is called downstream.

The direction against the stream is called upstream.

Formula used:

Downstream speed of the boat is

⇒ Speed of boat + speed of stream

Speed of a boat in upstream

⇒ Speed of boat – speed of stream

Speed = distance/time

Calculation:

Let x = speed of motor boat in still water and a = speed of stream

Then the speed of motor boat in downstream be (x + a) and in upstream be (x – a)

Distance covered in downstream = 14.4 km

Distance covered in upstream = 6.4 km

Total time taken in whole journey= 4 hr

For total time,

⇒ [14.4/(x + a)] + [6.4/(x – a)] = 4

⇒ [18/(x + a)] + [8/(x – a)] = 5      —-(i)

After that it covers 3 km in downstream and 1.2 km in upstream in 48 minutes

Now for total time,

⇒ [3/(x + a)] + [1.2/(x – a)] = 48/60

⇒ [30/(x + a)] + [12/(x – a)] = 480/60

⇒ [15/(x + a)] + [6/(x – a)] = 4      —-(ii)

Now multiply equation (i) by 3 and equation (ii) by 4, and subtract equation (i) from (ii) we get

⇒ [60/(x + a)] + [24/(x – a)] – [54/(x + a)] – [24/(x – a)] = 16 – 15

⇒ 6/(x + a) = 1

⇒ x + a = 6      —-(iii)

Equation (iii) shows the downstream speed of motor boat.

Now put the value in equation (i) from equation (iii) we get

⇒ 18/6 + [8/(x – a)] = 5

⇒ 8/(x – a) = 5 – 3

⇒ x – a = 4      —-(vi)

On subtracting equation (vi) from (iii) we get

⇒ 2a = 2

⇒ a = 1 km/h

Now the speed of motor boat in still water

⇒ Total downstream speed of motor boat – speed of stream

⇒ 6 – 1 = 5 km/hr

∴ The speed of motor boat in still water is 5 km/hr.

 

2. A girl swims triple the distance in the direction of the current as compared to the distance she covers while swimming against the current. If her speed in still water is 3.5 km/hr and time taken by her in the direction of current and against the current is 36 minutes and 48 minutes respectively, then what will be the sum of speeds of swimming with and against the current?

एक लड़की धारा प्रवाह के खिलाफ तैरने के दौरान जितनी दूरी तय करती है, उसकी तुलना में वह धारा प्रवाह की दिशा में दूरी को तीन गुना कर देती है। यदि स्थिर पानी में उसकी गति 3.5 किमी/घंटा है और धारा प्रवाह की दिशा में और धारा प्रवाह खिलाफ 36 मिनट और 48 मिनट का समय लिया जाता है, तो वर्तमान के साथ और खिलाफ तैराकी की गति का योग क्या होगा?

Option “B” is correct.

SHORTCUT TRICK

Sum of downstream and upstream speeds = D + U

= B + S + B – S

= 2 × B

= 2 × 3.5

= 7 km/hr

IMPORTANT POINT 

Sometimes extra data in the question is there to waste the time.

ALTERNATE METHOD

Given:

Speed of girl = 3.5 km/hr

Time taken by girl in downstream = 36 mins.

Time taken by girl in upstream = 48 mins.

Formula Used:

Distance = Speed × Time

D = B + S

U = B – S

B = (D + U)/2

S = (D – U)/2

where, D → Downstream speed, U → Upstream speed, B → Speed of boat in still water, S → Speed of stream.

Calculations:

Let the speed of current be x km/hr.

Let the downstream and upstream speed be D km/hr and U km/hr respectively.

Let the downstream and upstream distance be d1 km and d2 km respectively.

Distance = Speed × Time

For downstream, distance (d1) = D × 36

⇒ d1 = (3.5 + x) × 36

⇒ d1 = 36(3.5 + x)

For upstream, distance (d2) = U × 48

⇒ d= (3.5 – x) × 48

⇒ d= 48(3.5 – x)

∵ d= 3d2

 ⇒ 36(3.5 + x) = 3 × 48(3.5 – x)

⇒ (3.5 + x)/(3.5 – x) = 4

Using componendo – dividendo

⇒ 3.5/x = (4 + 1)/(4 – 1)

⇒ x = 2.1 km/hr

D = B + x

⇒ D = (3.5 + 2.1) km/hr

⇒ D = 5.6 km/hr

U = B – x

⇒ U = (3.5 – 2.1) km/hr

⇒ U = 1.4 km/hr

Sum of downstream and upstream speeds = D + U = (5.6 + 1.4) km/hr

 ⇒ D + U = 7 km/hr

∴ The sum of speeds of swimming with and against the current is 7 km/hr.

 

3. A man can row at a speed of 15/2 km/hr in still water. He goes to a certain point upstream and back to the starting point in a river which flows at 3/2 km/hr, then the average speed of the man for the total journey is:

एक आदमी स्थिर जल में 15/2 किमी/घंटे की गति से नाव चलाता है वह नदी में एक निश्चित बिंदु तक धारा के विपरीत जाता है और वापस अपने प्रारंभिक बिंदु पर आता है जिसमें धारा की गति 3/2 किमी./घंटा है, तो कुल यात्रा में आदमी की औसत गति ज्ञात कीजिये।

Option “B” is correct.

Let the total upstream and downstream distance be 2x km,

Average speed = Distance covered/Time taken

⇒ Average speed = 2x/ [{x/ (7.5 + 1.5} + {x/ (7.5 – 1.5}]

∴ Average speed = 7.2 km/hr

 

4. A boat can go 20 km downstream and 30 km upstream in 2 hours 20 minutes. Also, it can go 10 km downstream and 8 km upstream in 49 minutes. What is the speed of boat downstream in km/h?

एक नाव 20 किमी प्रवाह के अनुकूल दिशा में और 30 किमी प्रवाह के प्रतिकूल दिशा में 2 घंटे 20 मिनट में जा सकती है। इसके अतिरिक्त, यह 10 किमी प्रवाह के अनुकूल दिशा में और 8 किमी प्रवाह के प्रतिकूल दिशा में 49 मिनट में तय कर सकती है। नाव की प्रवाह के अनुकूल दिशा में गति किमी/घंटा में क्या है?

Option “D” is correct.

Time in hours = 2 + 20/60 = 7/3 hours

Time in hours = 49/60 hours

Let upstream speed and downstream speed be A kmph and B kmph respectively.

⇒ 30/A + 20/B = 7/3      —- (1)

⇒ 8/A + 10/B = 49/60

Solving,

⇒ 16/A + 20/B = 49/30      —- (2)

Subtracting,

⇒ 14/A = 7/10

⇒ A = 20

⇒ 20/B = 7/3 – 30/20

⇒ B = 24

Speed downstream = 24 kmph

 

5. Boat M can row 60 km downstream and 20 km upstream in the same time and Boat N can row 50 km downstream and 10 km upstream in the same time in the stream running at 10 km/h. Find the difference between the speeds of boats in still water.

नाव M 60 किमी अनुप्रवाह और 20 किमी उर्ध्वप्रवाह समान समय में चलती है और नाव N 50 किमी अनुप्रवाह और 10 किमी उर्ध्वप्रवाह समान समय में 10 किमी/घंटा वाली धारा में चलती है। स्थिर पानी में नाव की चालों का अंतर ज्ञात कीजिये

Option “A” is correct.

Let the speed of the boat M in still water be M km/h and speed of the boat N in still water be N km/h.

According to the question

⇒ 60/(M + 10) = 20/(M – 10)

⇒ 60M – 600 = 20M + 200

⇒ M = 20km/h

⇒ 50/(N + 10) = 10/(N – 10)

⇒ 10N + 100 = 50N – 500

⇒ N = 15 km/h

Required difference = 20 – 15 = 5 km/h

 

6. The total time taken by a boat to go 120 km upstream and came back to the starting point is 8 hours. If the speed of the stream is 25% of the speed of the boat in still water, then find the difference between the upstream speed and the downstream speed of the boat.

एक नाव द्वारा 120 किमी धारा के प्रतिकूल जाने में और प्रारंभिक बिंदु पर वापस आने में लिया गया कुल समय 8 घंटे है। यदि धारा की गति स्थिर पानी में नाव की गति की 25% है, तो धारा के प्रतिकूल और धारा के अनुकूल नाव की गति के बीच अंतर ज्ञात कीजिये।

Option “A” is correct.

Given:

Time to go 120 km upstream and come back to the starting point = 8 hours

The speed of the stream is 25% of the speed of the boat in still water

Formula Used:

Downstream Speed = Speed of boat + Speed of stream 

Upstream Speed = Speed of boat – Speed of stream

Calculation:

Let the speed of the boat in still water be x km/h.

So, the speed of stream = x × 25/100 = (x/4) km/h

The upstream speed of boat = x – (x/4) = (3x/4) km/h

The downstream speed of boat = x + (x/4) = (5x/4) km/h

According to the question:

[120/ (3x/4)] + [120/ (5x/4)] = 8

⇒ (480/3x) + (480/5x) = 8

⇒ 480[(5 + 3) /15x] = 8

⇒ 15x = 480

⇒ x = 32

⇒ The upstream speed of the boat = 32 × 3/4 = 24 km/h

⇒ The downstream speed of the boat = 32 × 5/4 = 40 km/h

∴ The required difference = 40 – 24 = 16 km/h

 

7.A boat can go 3.6 km upstream and 5.4 km downstream in 54 minutes, while it can go 5.4 km upstream and 3.6 km downstream in 58.5 minutes. The time (in minutes) taken by the boat in going 10 km downstream is:

एक नाव 3.6 किमी धारा के प्रतिकूल और 5.4 किमी धारा के अनुकूल 54 मिनट में जा सकती है, जबकि यह 5.4 किमी के प्रतिकूल और 3.6 किमी  के अनुकूल  58.5 मिनट में जा सकती है। 10 किमी धारा के अनुकूल जाने में नाव द्वारा लिया गया समय (मिनट में) है:

Option “C” is correct.

Short Trick:

U = upstream and D = downstream

3.6(U) + 5.4(D) = 54 and 5.4(U) + 3.6(D) = 58.5

Divide by 18

2U + 3D = 30 and 3U + 2D = 32.5

Now, Multiply by 3 in (1) and by 2 in (2), and then subtract (2) from (1), then

5D = 25 min

∴10D = 50 min

Detailed Method:

Let the speed of boat be x km/hr and speed of current be y km/hr

Upstream speed = (x – y) km/hr

Downstream speed = (x + y) km/hr

According to the question

3.6/(x – y) + 5.4/(x + y) = 54/60

5.4/(x – y) + 3.6/(x + y) = 58.5/60

Let 1/(x – y) = a and 1/(x + y) = b, then

3.6a + 5.4b = 54/60   —(1)

5.4a + 3.6b = 58.5/60   —(2)

Add equation (1) and equation (2)

9 (a + b) = 112.5/60

⇒a + b = 12.5/60

⇒a + b = 5/24   —(3)

Subtract equation (2) from equation (1)

1.8 (b – a) = -4.5/60

⇒b – a = -2.5/60

⇒b – a = -1/24   —(4)

Add equation (3) and equation (4)

2b = 4/24

⇒b = 1/12

⇒(x + y) = 12 km/hr

Downstream speed = 12 km/hr

∴Time taken to cover 10 km distance with downstream = 10/12 hr or (10/12) × 60 = 50 min

 

8. In a stream running at 3 km/h, a motorboat goes 12 km upstream and back to the starting point in 60 min. Find the speed of the motorboat in still water. (in km/h)

3 किमी/घंटा की गति से बहने वाली एक नदी में मोटरबोट धारा के प्रतिकूल 12 किमी जाती है और 60 मिनट में वापस प्रारंभिक स्थान पर आती है। तो शांत जल में मोटरबोट की गति (किमी/घंटा में) ज्ञात कीजिए।

Option “B” is correct.

Given:

In a stream running at 3 km/h, a motorboat goes 12 km upstream and back to the starting point in 60 min

Formula used:

x = [-b ± √(b2 – 4ac)]/2a

Calculation:

Let the speed of boat in still water be x, then

⇒ 12/(x – 3) + 12/(x + 3) = 1

⇒ 12 [(x + 3 + x – 3)/(x2 – 9)] = 1

 ⇒ 12 × 2x = x2 – 9

⇒ x2 – 24x – 9 = 0

Compare on ax2 + bx + c = 0

a = 1, b = -24 and c = -9

As we know,

⇒ x = [-b ± √(b2 – 4ac)]/2a

⇒ x = [24 ± √(242 – 4 × 1 × (-9)]/2

⇒ x = [24 ± √(576 + 36)]/2

⇒ x = [24 ± √612]/2

⇒ x = (24 ± 6√17)/2

⇒ x = 12 ± 3√17

⇒ x = 3 (4 ± √17)

Speed of boat in still water is 3 (4 + √17)

 

9. Ram hires a motorboat to go to a place on the other side of a lake and come back to the starting point. He goes to his destination at a speed of 125 km/hr in still water. If the speed of stream is 25 km/hr and the distance between the 2 ends is 55 km. Find the average speed of Ram in the whole journey.

राम एक झील के दूसरी ओर एक स्थान पर जाने के लिए एक मोटरबोट को किराए पर लेता हैं और शुरुआती बिंदु पर वापस आता है। वह स्थिर पानी में 125 किमी/घंटा की गति से अपने गंतव्य तक जाता है। यदि धारा की गति 25 किमी/घंटा है और 2 छोरों के बीच की दूरी 55 किमी है। पूरी यात्रा में राम की औसत गति ज्ञात कीजिये।

Option “B” is correct.

Short Trick Method/Topper’s Approach:

Let the downstream and upstream speeds be D km/hr and U km/hr respectively.

Let the speed of motorboat in still water and speed of stream be B km/hr and S km/hr respectively.

Speed = Distance/Time

D = B + S

⇒ D = (125 + 25) km/hr

⇒ D = 150 km/hr

U = B – S

⇒ U = (125 – 25) km/hr

⇒ U = 100 km/hr

For equal distance, Average speed = 2v1v2/(v1 + v2)

⇒ Average speed = 2 × 100 × 150/(100 + 150)

⇒ Average speed = 120 km/hr

∴ The average speed of Ram in the whole journey is 120 km/hr.

ALTERNATE METHOD

Given:

Distance between the 2 ends = 55 km

Speed of Ram in still water = 125 km/hr

Speed of current = 25 km/hr

Concept Used:

Time = Distance/Speed

Average speed = Total distance/Total time

Formula Used:

D = B + S

U = B – S

where, D → Downstream speed, U → Upstream speed, B → Speed of boat in still water, S → Speed of stream.

Calculations:

Let the downstream and upstream speeds be D km/hr and U km/hr respectively.

Let the speed of motorboat in still water and speed of stream be B km/hr and S km/hr respectively.

Let the total time taken in downstream and upstream be t1 and t2 hours respectively.

Speed = Distance/Time

D = B + S

⇒ D = (125 + 25) km/hr

⇒ D = 150 km/hr

U = B – S

⇒ U = (125 – 25) km/hr

⇒ U = 100 km/hr

Time = Distance/Speed

t= 55/150 = 11/30 hrs

⇒ t= (11/30) × 60 = 22 mins.

t2 = 55/100 = 11/20 hrs

⇒ t2 = (11/20) × 60 = 33 mins.

Total time in the journey = (22 + 33) mins. = 55/60 hrs.

Average speed = Total distance/Total time

⇒ Average speed = (2 × 55)/(55/60)

⇒ Average speed = 120 km/hr

 The average speed of Ram in the whole journey is 120 km/hr.

 

10. A man can row at a speed of 15/2 km/hr in still water. He goes to a certain point upstream and back to the starting point in a river which flows at 3/2 km/hr, then the average speed of the man for the total journey is:

एक आदमी स्थिर जल में 15/2 किमी/घंटे की गति से नाव चलाता है वह नदी में एक निश्चित बिंदु तक धारा के विपरीत जाता है और वापस अपने प्रारंभिक बिंदु पर आता है जिसमें धारा की गति 3/2 किमी./घंटा है, तो कुल यात्रा में आदमी की औसत गति ज्ञात कीजिये।

Option “B” is correct.

Let the total upstream and downstream distance be 2x km,

Average speed = Distance covered/Time taken

⇒ Average speed = 2x/ [{x/ (7.5 + 1.5} + {x/ (7.5 – 1.5}]

∴ Average speed = 7.2 km/hr

267 thoughts on “Boat and Stream Questions”

  1. You really make it appear really easy with your presentation but I
    to find this topic to be really one thing that I feel I might by no
    means understand. It kind of feels too complex and very wide for me.
    I am looking forward on your subsequent post, I’ll
    try to get the cling of it! Najlepsze escape roomy

  2. Howdy! Do you know if they make any plugins to help with SEO?
    I’m trying to get my site to rank for some targeted keywords but I’m
    not seeing very good results. If you know of any please share.
    Kudos! I saw similar art here: Warm blankets

  3. sugar defender official website Finding Sugar Defender has
    actually been a game-changer for me, as I have actually constantly been vigilant about handling
    my blood glucose levels. With this supplement, I feel equipped to take
    charge of my health, and my latest clinical examinations have actually shown a significant
    turnaround. Having a trustworthy ally in my edge offers me with a sense of security and reassurance,
    and I’m deeply happy for the extensive difference Sugar Defender has
    made in my wellness.

  4. sugar defender official website As somebody who’s always bewared regarding my blood sugar,
    locating Sugar Defender has actually been an alleviation. I really feel a lot
    more in control, and my recent exams have actually revealed favorable enhancements.
    Knowing I have a trustworthy supplement to support my regular provides me peace of mind.
    I’m so happy for Sugar Defender’s influence
    on my health!

  5. A fascinating discussion is worth comment. I believe that you need to write more on this topic, it might not be a taboo matter but typically folks don’t speak about these topics. To the next! Many thanks!

  6. Realizing the potential revenue within the sale of pop tradition autographs, many sellers additionally would watch for hours for a star to emerge from a location, current a number of images for the movie star to signal and then sell most of them.

  7. Wow, great stuff. I have been studying this for a few years. I’m glad to hopefully find someone that comes to the same conclusions as me. At least it seems that’s the case. I’ll keep visiting your site to stay informed.

  8. This is really stimulating, You’re particularly seasoned article writer. I have signed up with your feed additionally count on enjoying the amazing write-ups. Plus, We’ve shared your web sites in our social networks.

  9. I simply couldn’t leave your web site prior to suggesting that I extremely loved the usual info an individual provide in your guests? Is gonna be again continuously in order to investigate cross-check new posts.

  10. Certainly I like your web-site, however you have to take a look at the spelling on quite a few of your posts. Several of them are rife with spelling problems and I find it very troublesome to inform you. However I’ll definitely come back again!

  11. I will right away seize your rss feed as I can not in finding your e-mail subscription link or e-newsletter service. Do you’ve any? Kindly let me recognize so that I may subscribe. Thanks.

  12. I must thank you for the efforts you’ve put in writing this website. I’m hoping to see the same high-grade blog posts from you in the future as well. In truth, your creative writing abilities has inspired me to get my very own site now 😉

  13. Whats rough now is how the programmed look to ones life is not changed. This may sound confusing? It’s almost as if we blitz through our lives with blinders on, not accepting the true meaning of our own existence.

  14. What your declaring is fully true. I know that everyone need to say the very same matter, but I just assume that you put it in a way that everybody can recognize. I also appreciate the images you place in the following. They match so properly with what youre making an attempt to say. Im positive youll get to so a lot of people today with what youve received to say.

  15. Its like you read my mind! You appear to know so much about this, like you wrote the book in it or something. I think that you can do with a few pics to drive the message home a little bit, but instead of that, this is wonderful blog. A great read. I will definitely be back.

  16. Good day! This is kind of off topic but I need some help from an established blog. Is it very difficult to set up your own blog? I’m not very techincal but I can figure things out pretty fast. I’m thinking about setting up my own but I’m not sure where to begin. Do you have any ideas or suggestions? Cheers

  17. I’m speechless. This is a very good blog and really attractive too. Nice work! That’s now not in reality so much coming from an beginner publisher like me, but it’s all I may just say after diving into your posts. Nice grammar and vocabulary. No longer like other blogs. You truly understand what you?re talking about too. Such a lot that you made me wish to discover more. Your weblog has transform a stepping stone for me, my friend.

  18. Spot up for this write-up, I truly feel this fabulous website requirements a great deal more consideration. I’ll probably be once more to learn considerably more, thanks for that information.

  19. This is the fitting weblog for anybody who desires to seek out out about this topic. You notice a lot its virtually arduous to argue with you (not that I really would want…HaHa). You undoubtedly put a new spin on a subject thats been written about for years. Nice stuff, just great!

  20. Thank you for some other magnificent article. The place else could anybody get that type of information in such a perfect means of writing? I’ve a presentation next week, and I am on the search for such information.

  21. The guidelines you provided here are really useful. It was such an enjoyable surprise to have that awaiting me as i woke up this very day. They are constantly to the point and easy to understand. Thanks for your time for the innovative ideas you’ve shared above.

  22. When I originally commented I clicked the -Notify me when new comments are added- checkbox and already whenever a comment is added I am four emails with the exact same comment. Will there be by any means you may eliminate me from that service? Thanks!

  23. This is the right web site for everyone who hopes to understand this topic. You know a whole lot its almost hard to argue with you (not that I really would want to…HaHa). You certainly put a brand new spin on a subject that has been written about for years. Wonderful stuff, just great.

  24. An impressive share, I just given this onto a colleague who was carrying out a little analysis within this. And the man in fact bought me breakfast because I came across it for him.. smile. So ok, i’ll reword that: Thnx to the treat! But yeah Thnkx for spending time go over this, I’m strongly about it and enjoy reading much more about this topic. If you can, as you become expertise, can you mind updating your website to comprehend details? It truly is highly great for me. Big thumb up just for this short article!

  25. When I originally commented I clicked the -Notify me when new surveys are added- checkbox and from now on each time a comment is added I get four emails sticking with the same comment. Is there however you may get rid of me from that service? Thanks!

  26. Whats up very cool web site!! Man .. Beautiful .. Superb .. I will bookmark your web site and take the feeds additionally…I am happy to find a lot of useful information here in the put up, we want develop extra techniques on this regard, thank you for sharing.

  27. Wow, marvelous blog layout! How long have you been blogging for? you make blogging look easy. The overall look of your site is excellent, as well as the content!

  28. We still cannot quite think that I could truthfully often be those types of checking important points entirely on your blog post. My children and so i are sincerely thankful for one’s generosity too as for giving me possibility pursue our chosen profession path. Information you information I received with your web-site.

  29. After unsuccessful makes an attempt to confirm that COF Academy was what it claimed to be, the OHSAA declared that COF Academy was not a professional school, which in the end led to its charter being revoked in 2018.

  30. Kemo Tech is a cutting-edge technology solutions provider specializing in innovative software development, IT services, and digital transformation strategies. Their expertise empowers businesses to optimize processes, enhance efficiency and achieve sustainable growth visit here https://kemotech.co.uk/

  31. Everything is very open with a clear clarification of the issues. It was definitely informative. Your site is very useful. Thanks for sharing.

  32. Hi there! This article couldn’t be written much better! Looking through this article reminds me of my previous roommate! He continually kept talking about this. I am going to send this post to him. Fairly certain he’s going to have a great read. Thanks for sharing!

  33. Your style is very unique in comparison to other people I’ve read stuff from. Thanks for posting when you’ve got the opportunity, Guess I will just bookmark this page.

  34. Having read this I thought it was very informative. I appreciate you finding the time and effort to put this information together. I once again find myself spending a lot of time both reading and posting comments. But so what, it was still worth it.

  35. You are so cool! I don’t think I’ve read through a single thing like this before. So nice to find somebody with a few genuine thoughts on this subject. Seriously.. thank you for starting this up. This site is something that is required on the web, someone with a bit of originality.

  36. Good post. I learn something new and challenging on blogs I stumbleupon on a daily basis. It’s always exciting to read articles from other authors and use something from their websites.

  37. Right here is the perfect blog for anyone who would like to find out about this topic. You know so much its almost hard to argue with you (not that I personally would want to…HaHa). You certainly put a brand new spin on a topic that has been discussed for years. Wonderful stuff, just wonderful.

  38. You are so awesome! I don’t think I’ve read anything like this before. So wonderful to discover someone with original thoughts on this subject matter. Really.. many thanks for starting this up. This web site is one thing that’s needed on the internet, someone with a little originality.

  39. After I initially left a comment I appear to have clicked on the -Notify me when new comments are added- checkbox and now each time a comment is added I get four emails with the exact same comment. Perhaps there is a means you can remove me from that service? Appreciate it.

  40. I discovered your website website on bing and appearance a couple of your early posts. Preserve within the really good operate. I merely additional encourage Feed to my MSN News Reader. Seeking forward to reading more by you down the line!…

  41. Hi there! I could have sworn I’ve been to this website before but after looking at a few of the posts I realized it’s new to me. Anyhow, I’m definitely happy I came across it and I’ll be bookmarking it and checking back regularly!

  42. Spot on with this write-up, I actually think this website needs so much more consideration. I’ll probably be again to read more, thanks for that info.

  43. Nice read, I just passed this onto a colleague who was doing a little research on that. And he actually bought me lunch as I found it for him smile Thus let me rephrase that: Thank you for lunch!

  44. Hi, I do think this is a great web site. I stumbledupon it 😉 I may revisit yet again since i have book-marked it. Money and freedom is the best way to change, may you be rich and continue to help other people.

  45. This web page is usually a walk-through for all of the info it suited you in regards to this and didn’t know who must. Glimpse here, and you’ll undoubtedly discover it.

  46. When I originally commented I appear to have clicked on the -Notify me when new comments are added- checkbox and now each time a comment is added I recieve four emails with the exact same comment. Perhaps there is an easy method you can remove me from that service? Thanks.

  47. After looking at a few of the articles on your blog, I honestly like your way of blogging. I added it to my bookmark website list and will be checking back soon. Please visit my web site as well and tell me what you think.

  48. I’m amazed, I have to admit. Seldom do I come across a blog that’s both equally educative and entertaining, and without a doubt, you’ve hit the nail on the head. The issue is something that not enough men and women are speaking intelligently about. Now i’m very happy that I found this in my search for something regarding this.

  49. Having read this I believed it was extremely informative. I appreciate you spending some time and effort to put this article together. I once again find myself spending a lot of time both reading and posting comments. But so what, it was still worthwhile.

  50. This however the fact that French In Action has been broadcast by quite a few Public Broadcasting System stations in the US for years, and anybody with an antenna and a VCR is perfectly free to make their very own tapes of the video portion of the course.

  51. An intriguing discussion is worth comment. I think that you need to publish more on this topic, it might not be a taboo matter but generally people don’t discuss these issues. To the next! All the best!

  52. After I initially commented I seem to have clicked on the -Notify me when new comments are added- checkbox and from now on each time a comment is added I recieve four emails with the exact same comment. Is there a means you are able to remove me from that service? Thanks a lot.

  53. Having read this I thought it was rather informative. I appreciate you finding the time and energy to put this content together. I once again find myself personally spending a lot of time both reading and commenting. But so what, it was still worth it!

  54. You are so awesome! I don’t think I’ve read through a single thing like this before. So nice to discover someone with genuine thoughts on this topic. Seriously.. many thanks for starting this up. This site is one thing that’s needed on the web, someone with a bit of originality.

  55. I blog frequently and I really thank you for your content. This great article has truly peaked my interest. I will book mark your site and keep checking for new details about once a week. I opted in for your RSS feed too.

  56. You made some decent points there. I looked on the internet to learn more about the issue and found most people will go along with your views on this website.

  57. Hi! I simply wish to give you a big thumbs up for the excellent information you have right here on this post. I am coming back to your website for more soon.

  58. I would like to thank you for the efforts you’ve put in penning this blog. I’m hoping to view the same high-grade content by you in the future as well. In truth, your creative writing abilities has inspired me to get my own, personal site now 😉

  59. When I originally left a comment I seem to have clicked on the -Notify me when new comments are added- checkbox and now each time a comment is added I receive 4 emails with the same comment. Is there a means you are able to remove me from that service? Many thanks.

  60. When I originally commented I appear to have clicked the -Notify me when new comments are added- checkbox and now whenever a comment is added I recieve 4 emails with the exact same comment. There has to be an easy method you are able to remove me from that service? Thanks a lot.

  61. Aw, this was a very good post. Taking a few minutes and actual effort to produce a really good article… but what can I say… I hesitate a whole lot and don’t seem to get nearly anything done.

  62. After looking at a few of the blog posts on your web site, I seriously like your technique of writing a blog. I added it to my bookmark site list and will be checking back soon. Take a look at my web site too and let me know your opinion.

  63. Oh my goodness! Awesome article dude! Thank you, However I am experiencing problems with your RSS. I don’t understand why I cannot join it. Is there anybody having identical RSS issues? Anybody who knows the answer can you kindly respond? Thanx.

  64. Your style is so unique compared to other people I’ve read stuff from. Many thanks for posting when you have the opportunity, Guess I’ll just bookmark this web site.

  65. The next time I read a blog, I hope that it doesn’t disappoint me just as much as this particular one. After all, I know it was my choice to read, but I truly thought you would probably have something interesting to say. All I hear is a bunch of complaining about something that you could possibly fix if you weren’t too busy seeking attention.

  66. The tagline for the popular 90s cartoon Pinky and The Mind claims that “One is a genius, the other’s insane.” Naturally, it was always assumed that The Brain is the genius and Pinky is insane.

  67. Spot on with this write-up, I seriously believe that this web site needs a great deal more attention. I’ll probably be returning to read more, thanks for the info.

  68. Can I just say what a comfort to uncover someone who actually understands what they’re talking about on the net. You definitely realize how to bring a problem to light and make it important. More and more people really need to check this out and understand this side of the story. It’s surprising you aren’t more popular since you most certainly have the gift.

  69. Jo blames lots of the residents of their small town of Pinecone, Alabama, starting with the rifle’s manufacturers, who are the largest company in the realm.

  70. That is a really good tip especially to those new to the blogosphere. Brief but very precise info… Thanks for sharing this one. A must read post!

  71. Howdy! This article couldn’t be written much better! Reading through this post reminds me of my previous roommate! He always kept preaching about this. I will forward this article to him. Pretty sure he will have a very good read. I appreciate you for sharing!

  72. It’s hard to come by educated people on this topic, but you sound like you know what you’re talking about! Thanks

  73. Spot on with this write-up, I actually believe that this web site needs a great deal more attention. I’ll probably be returning to see more, thanks for the info!

  74. Next time I read a blog, Hopefully it does not fail me as much as this one. After all, Yes, it was my choice to read through, however I genuinely thought you would probably have something helpful to talk about. All I hear is a bunch of moaning about something you could possibly fix if you were not too busy seeking attention.

  75. An intriguing discussion is worth comment. I do think that you ought to write more on this topic, it may not be a taboo subject but usually folks don’t talk about such topics. To the next! Cheers!

  76. Greetings! Very useful advice within this post! It is the little changes that will make the biggest changes. Thanks a lot for sharing!

  77. Oh my goodness! Impressive article dude! Thank you, However I am encountering issues with your RSS. I don’t understand the reason why I am unable to subscribe to it. Is there anybody else having the same RSS issues? Anyone who knows the solution will you kindly respond? Thanks.

  78. ICD Impact Analysis solutions use advanced patient phenotype models to provide actionable insights for hospitals that can target preventions and stop clinical conditions that lead to greater financial losses.

  79. I seriously love your site.. Great colors & theme. Did you create this site yourself? Please reply back as I’m hoping to create my own personal website and would love to know where you got this from or just what the theme is called. Kudos!

  80. This is a good tip particularly to those new to the blogosphere. Brief but very precise information… Thank you for sharing this one. A must read post!

  81. As a ministry to Christians, the location begins with a quiz for Christians only, after which the results are given and referrals are made to one or more of the ministry’s packages, which include a Christian discipleship program, a negative Christian stereotypes Bible research, and maybe others.

  82. Aw, this was a really nice post. Taking a few minutes and actual effort to generate a great article… but what can I say… I hesitate a whole lot and don’t manage to get anything done.

  83. May I simply just say what a relief to discover somebody who truly understands what they’re discussing over the internet. You definitely know how to bring a problem to light and make it important. A lot more people need to look at this and understand this side of your story. I can’t believe you are not more popular since you definitely possess the gift.

  84. Hi, I do believe this is a great website. I stumbledupon it 😉 I am going to return once again since i have saved as a favorite it. Money and freedom is the greatest way to change, may you be rich and continue to help other people.

  85. Oh my goodness! Incredible article dude! Thank you so much, However I am experiencing issues with your RSS. I don’t understand the reason why I cannot subscribe to it. Is there anybody having the same RSS problems? Anybody who knows the solution will you kindly respond? Thanx!!

  86. New York statutes say that a portion of the funds paid to a bond supplier, also recognized as the premium or fee, will be retained by said provider, whatever the disposition of the case and even if the defendant completely attended all courtroom hearings.

  87. The very next time I read a blog, I hope that it won’t disappoint me just as much as this one. After all, I know it was my choice to read, but I genuinely thought you would have something useful to say. All I hear is a bunch of crying about something that you can fix if you weren’t too busy looking for attention.

  88. I’d like to thank you for the efforts you’ve put in penning this website. I am hoping to see the same high-grade content by you later on as well. In truth, your creative writing abilities has encouraged me to get my very own blog now 😉

  89. After going over a handful of the articles on your website, I honestly like your way of blogging. I added it to my bookmark website list and will be checking back soon. Take a look at my website too and tell me your opinion.

  90. Your style is very unique in comparison to other people I’ve read stuff from. Many thanks for posting when you have the opportunity, Guess I will just book mark this blog.

  91. sex nhật hiếp dâm trẻ em ấu dâm buôn bán vũ khí ma túy bán súng sextoy chơi đĩ sex bạo lực sex học đường tội phạm tình dục chơi les đĩ đực người mẫu bán dâm

  92. I would like to thank you for the efforts you have put in penning this blog. I really hope to see the same high-grade content by you later on as well. In fact, your creative writing abilities has motivated me to get my own, personal blog now 😉

  93. Good post. I learn something totally new and challenging on websites I stumbleupon every day. It will always be exciting to read through articles from other writers and use a little something from other web sites.

  94. Hi there! This article could not be written any better! Looking through this article reminds me of my previous roommate! He constantly kept talking about this. I will send this information to him. Fairly certain he will have a good read. Thanks for sharing!

  95. Good post. I learn something new and challenging on sites I stumbleupon everyday. It will always be helpful to read articles from other authors and use something from their websites.

  96. sex nhật hiếp dâm trẻ em ấu dâm buôn bán vũ khí ma túy bán súng sextoy chơi đĩ sex bạo lực sex học đường tội phạm tình dục chơi les đĩ đực người mẫu bán dâm

  97. I?¦ve been exploring for a little bit for any high-quality articles or blog posts on this kind of space . Exploring in Yahoo I at last stumbled upon this website. Reading this information So i am happy to express that I have an incredibly good uncanny feeling I found out exactly what I needed. I such a lot without a doubt will make certain to don?¦t disregard this website and provides it a glance regularly.

  98. I seriously love your blog.. Pleasant colors & theme. Did you build this web site yourself? Please reply back as I’m planning to create my own site and would like to learn where you got this from or what the theme is called. Thank you.

Leave a Comment

Your email address will not be published. Required fields are marked *

Scroll to Top