101. The distance between two stations A and B is 560km. A train leaves station A at the speed of 30kmph. At the same time another train departs from station B at the speed of 90kmph. What will be the distance of the points where both the trains meet from point A?

दो स्टेशनों A और B के बीच की दूरी 560 किमी है। एक ट्रेन स्टेशन A से 30 किमी प्रति घंटे की गति से निकलती है। उसी समय एक अन्य ट्रेन स्टेशन B से 90 किमी प्रति घंटे की गति से निकलती है। उन बिंदुओं की दूरी क्या होगी जहां दोनों ट्रेनें बिंदु A से मिलती हैं?

A. 140 km
B. 145 km
C. 150 km
D. 160 km
E. 170 km

Option “A” is correct.

T1 = T2

x/30 =(560-x)/90

3x = 560- x

4x = 560

x= 140km
102. Two trains leave Pune for Agra at 7.00 pm and 8.00 pm respectively and travel at 48 kmph and 63 kmph respectively. How many kilometers from Pune will the two trains meet?

दो ट्रेनें क्रमशः शाम 7.00 बजे और रात 8.00 बजे पुणे से आगरा के लिए रवाना होती हैं और क्रमशः 48 किमी प्रति घंटे और 63 किमी प्रति घंटे की गति से यात्रा करती हैं। पुणे से कितने किलोमीटर की दूरी पर दोनों ट्रेनें मिलेंगी?

A. 200.6 km
B. 210.6 km
C. 211.6 km
D. 201.6 km
E. None of these

Option “D” is correct.

Relative distance = 48

Relative speed = 63 – 48 = 15

Then,

48 = 15 * time

3.2 h = time

Required distance = 3.2 * 63 = 201.6 km
103. Two trains A and B leave from Delhi at 5.40 am and 6.28 am respectively. If the speed of trains A and B is 40 kmph and 72 kmph respectively, then how many kilometers from Delhi will the two trains meet?

दो ट्रेनें A और B दिल्ली से क्रमशः सुबह 5.40 बजे और सुबह 6.28 बजे प्रस्थान करती हैं। यदि ट्रेन A और B की गति क्रमशः 40 किमी प्रति घंटे और 72 किमी प्रति घंटा है, तो दिल्ली से कितने किलोमीटर की दूरी पर दोनों ट्रेनें मिलेंगी?

A. 180 km
B. 108 km
C. 72 km
D. 216 km
E. None of these

Option “C” is correct.

The distance between Delhi to their meeting point=x km

Time difference = 48/60 = 4/5 hours

Train B covers x km=t hours

Train A covers x km=t+(48/60)=t+4/5=(5t+4)/5

40*(5t+4)/5=72t

200t+160=360t

t=1

Required distance=72*1=72 km
104. Two trains 160 meters and 140 meters in length are running towards each other on parallel tracks, one at the rate of 75 kmph and another at 45 kmph. In how many seconds will they be clear of each other from the moment they meet?

160 मीटर और 140 मीटर लम्बी दो रेलगाड़ियाँ एक-दूसरे की ओर समानांतर पटरियों पर चल रही हैं, एक 75 किमी प्रति घंटे की रफ्तार से और दूसरी 45 किमी प्रति घंटे की रफ्तार से। वे मिलने के क्षण से कितने सेकंड में एक दूसरे को पूरी तरह से पार करेगी?

A. 6 seconds
B. 9 seconds
C. 12 seconds
D. 15 seconds
E. 4 seconds

Option “B” is correct.

Distance = speed * time

(160 + 140) = (75 + 45) × T × 5/18

Time = 9 seconds
105. Two stations A and B are 310 km apart on a straight line. One train starts from A at 10 a.m. and travels towards B at 40 km/hr. Another train starts from B at 11 a.m. and travels towards A at a speed of 50 km/hr. At what time will they meet?

दो स्टेशन A और B एक सीधी रेखा पर 310 किमी दूर हैं। एक ट्रेन सुबह 10 बजे A से शुरू होती है और 40 किमी / घंटा की गति से B की ओर जाती है। एक अन्य ट्रेन सुबह 11 बजे B से शुरू होती है और 50 किमी / घंटा की गति से A की ओर जाती है। वे किस समय मिलेंगे?

A. 3 pm
B. 1 pm
C. 2 pm
D. 4 pm
E. None of these

Option “C” is correct.

They meet x hours after 10 a.m.

Distance covered by A in x hours = 40x km

Distance covered by B in (x – 1) hours = 50 * (x – 1) km

40x + 50 * (x – 1) = 310

40x + 50x – 50 = 310

90x = 360

x = 4

They meet at 2 p.m
106. Train Starts from station A at 04.00pm with the speed of 56km/hr, another train starts from station B at 06.30pm with the speed of 20m/s, if both the train meet at 09.00pm, then find the distance between station A and B.

ट्रेन स्टेशन A से शाम 04.00 बजे 56 किमी/घंटा की गति से प्रस्थान करती है, अन्य ट्रेन स्टेशन B से शाम 06.30 बजे 20 मीटर/सेकंड की गति से प्रस्थान करती है, यदि दोनों ट्रेन रात 09.00 बजे मिलती हैं, तो स्टेशन A और B के बीच की दूरी को ज्ञात कीजिए।

A. 460km
B. 230km
C. 345km
D. 575km
E. None of the above

Option “A” is correct.

Distance covered = (Speed of the first train * time taken to reach the meeting point ) + (Speed of the second train * time taken to reach the meeting point )

Distance between two stations

= (5*56) + (2.5* 20 * [18/5])

= 280+180

= 460km
107. Train S started from A to B at 8 am and train T started from B to A at 8 am and the ratio of the speed of train S to T is 2:3. After three hours both the trains meet each other, in which time train T to reach A?

ट्रेन S 8 बजे पूर्वाह्न पर A से B के लिए चलना शुरू करती है और ट्रेन T 8 बजे पूर्वाह्न पर B से A के लिए चलना शुरू करती है और ट्रेन S और T की गति का अनुपात 2: 3 है। तीन घंटे के बाद दोनों ट्रेनें एक-दूसरे से मिलती हैं, किस समय में ट्रेन T A पहुंचेगी?

A. 12 pm
B. 1 pm
C. 2 pm
D. 4 pm
E. None of these

Option “B” is correct.

Distance= speed * time

Speed of train S=2x

Speed of train T=3x

Distance=(2x + 3x) * 3=15x

Time=15x/3x=5 hours

Required time=8 am + 5=1pm
108. Train P leaves Chennai central for Delhi at 10am, running at the speed of 50kmph. Train Q leaves Chennai central for Delhi by at 4pm on the same day, running at the speed of 65kmph. At what time will the two trains meet each other?

ट्रेन P, दिल्ली के लिए सुबह 10 बजे, चेन्नई से 50 किमी प्रति घंटे की रफ्तार से चलती है। ट्रेन Q 65 किमी प्रति घंटे की गति से चलकर उसी दिन शाम 4 बजे चेन्नई सेंट्रल से दिल्ली के लिए निकलती है। किस समय पर दोनों ट्रेनें एक-दूसरे से मिलेंगी?

A. 6pm on the next day
B. 8pm on the next day
C. 10pm on the next day
D. 12pm on the next day
E. None of these

Option “D” is correct.

Distance covered by train P before train Q leaves Chennai central = 50 * 6 = 300km

Time taken to cross each other = 300/15 = 20 hours

Required time = 4pm + 20 hours = 12pm on the next day
109. Train A starts from Kashmir at the speed of 162 kmph at 4 am and train B starts from Kashmir at the speed of 270 kmph at 9 am. What is the total distance covered by train A before train A and B meet?

ट्रेन A कश्मीर से सुबह 4 बजे 162 किमी प्रति घंटे की गति से शुरू होती है और ट्रेन B कश्मीर से 270 किमी प्रति घंटे की गति से सुबह 9 बजे शुरू होती है। ट्रेन A और B के मिलने से पहले ट्रेन A द्वारा तय की गई कुल दूरी कितनी है?

A. 2025 km
B. 2045 km
C. 2020 km
D. 2040 km
E. 2060 km

Option “A” is correct.

Distance covered by train A in 5 hours = 5 * 162 = 810 km

Relative speed of train A and B = 270 – 162 = 108 kmph

Time = 810/108 = 7.5 hours

Distance covered by train A = (5 + 7.5) * 162 = 2025 km
110. A train started from Madurai at a speed of 40kmph and after 2 hours another train of same length started from Madurai at a speed of 60kmph in the same direction as the first train. After how much time the second train will meet the first train?

एक ट्रेन 40 किमी प्रति घंटे की गति से मदुरई से शुरू हुई और 2 घंटे बाद उसी लंबाई की एक अन्य ट्रेन 60 किमी प्रति घंटे की गति से मदुरई से समान दिशा से शुरू हुई। कितने समय बाद दूसरी ट्रेन पहली ट्रेन से मिलेगी?

A. 2 hours
B. 3 hours
C. 4 hours
D. 5 hours
E. None of these

Option “C” is correct.

Let after x hours the second train will meet the first train.

S1t1 = S2t2

=> 40(x + 2) = 60x

=> x = 4 hours

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