141. Speed of boat in still water is 10 km/h. It takes 6 hours to go upstream and 2 hours to go downstream distance between two points. What is the speed of stream?

शांत जल में नाव की गति 10 किमी/घंटा है। दो बिंदुओं के बीच धारा के प्रतिकूल जाने में 6 घंटे और धारा के अनुकूल जाने में 2 घंटे का समय लगता है। धारा की गति क्या है?

A. 4 km/h
B. 5 km/h
C. 3 km/h
D. 2 km/h
E. 1 km/h

Option “B” is correct.

Speed of stream= x km/h

Now distance equal

(10 – x) × 6 = (10 + x) × 2

60 – 6x = 20 + 2x

8x = 40

x = 5 km/h

142. If the ratio of the time taken by the boat travels 180 km upstream to downstream is 2: 1 and the speed of the stream is 5 kmph, then find the speed of the boat in still water?

यदि नाव द्वारा धारा के प्रतिकूल 180 किमी से धारा के अनुकूल की यात्रा करने में समय का अनुपात 2: 1 है और धारा की गति 5 किमी प्रति घंटा है, तो शांत पानी में नाव की गति ज्ञात कीजिए?

A. 10 kmph
B. 15 kmph
C. 20 kmph
D. 25 kmph
E. None of these

Option “B” is correct.

(180/(x – 5))/(180/(x + 5)) = 2/1

x + 5 = 2x – 10

x = 15 kmph

143. If the ratio of the speed of the boat can travel along with current to against current is 2: 1 and the speed of the stream is 10 kmph, then what is the speed of the boat in still water?

यदि धारा के साथ यात्रा करने वाली नाव की गति से धारा के विपरीत यात्रा करने वाली नाव की गति का अनुपात 2: 1 है और धारा की गति 10 किमी प्रति घंटा है, तो शांत जल में नाव की गति क्या है?

A. 20 kmph
B. 25 kmph
C. 30 kmph
D. 15 kmph
E. None of these

Option “C” is correct.

10 = 1/2(2x – x)

20 = x

Speed of the downstream = 2 * 20 = 40

Speed of the boat in still water = 1/2(40 + 20) = 30 kmph

144. A boat can cover 21 km in the direction of current and 15 km against the current in 3 hours each. Find the speed of current.

एक नाव धारा की दिशा में 21 किमी और धारा की विपरीत दिशा में 15 किमी 3 घंटे में तय कर सकती है। धारा की गति ज्ञात कीजिये।

A. 1km/hr
B. 5km/hr
C. 7.5km/hr
D. 2km/hr
E. None of these

Option “A” is correct.

Downstream speed = 21/3 = 7 km/hr

Upstream speed = 15/3 = 5 km/hr

So speed of current = 1/2 * (7-5) = 1 km/hr

145. The speed of boat in still water is 8km/hr. A man can row his boat against the current at 4km/hr. what is the speed of downstream?

शांत जल में नाव की गति 8 किमी/घंटा है। एक व्यक्ति अपने नाव को धारा के विरुद्ध (उर्ध्वप्रवाह) 4 किमी/घंटा से चला सकता है। अनुप्रवाह (धारा के साथ) गति क्या है?

A. 8km/hr
B. 12km/hr
C. 16km/hr
D. 2km/hr
E. None of these

Option “B” is correct.

Speed of downstream = speed in still water + speed of water

=8+4=12km/hr

146. The speed of the stream is 4 kmph and the boat travels 60 km along with stream in 3 hours. What is the time taken by the boat travels same distance in against the stream?

धारा की गति 4 किमी प्रति घंटा है और नाव धारा के साथ 60 किमी की यात्रा 3 घंटे में करती है। नाव द्वारा धारा के विपरीत समान दूरी तय करने में कितना समय लगता है?

A. 4 hours
B. 5 hours
C. 6 hours
D. 8 hours
E. None of these

Option “B” is correct.

Speed of the stream = 4 kmph

Speed of the downstream = 60/3 = 20 kmph

Speed of the boat in still water = 20 – 4 = 16 kmph

Speed of the upstream = 16 – 4 = 12 kmph

Required time = 60/12 = 5 hours

147. The ratio of the speed of boat in still water to the speed of the stream is 5:4. If the boat covers 72 km distance in upstream and downstream in 20 hours, then find the speed of boat in still water?

शांत जल में नाव की गति से धारा की गति का अनुपात 5:4 है। यदि नाव धारा के प्रतिकूल और धारा के अनुकूल में 72 किमी की दूरी 20 घंटे में तय करती है, तो शांत जल में नाव की गति ज्ञात कीजिए?

A. 20 kmph
B. 16 kmph
C. 24 kmph
D. 25 kmph
E. None of these

Option “A” is correct.

Downstream speed=5x + 4x=9x

Upstream speed=5x – 4x=x

According to the question,

72/9x + 72/x=20

After solving this we have,

x=4 kmph

Speed of the boat in still water=5 * 4=20 kmph

148. The ratio of the speed of the boat in still water to speed of stream on Thursday is 4:3. If the boat travels 140km along with the current in 4 hours and it will come back in?

स्थिर पानी में नाव की गति से धारा की गति का अनुपात गुरुवार को 4: 3 है। यदि नाव 4 घंटे में धारा के साथ 140 किमी की दूरी तय करती है तो यह वापस _________ समय में आ जाएगी?

A. 22 hours
B. 25 hours
C. 26 hours
D. 28 hours
E. None of these

Option “D” is correct.

Downstream speed=140/4=35 kmph

Speed of the boat in still water=4x

Speed of the stream=3x

4x + 3x=35

X=5 kmph

Speed of the boat in still water=4x=20 kmph

Speed of the stream=3x=15 kmph

Upstream speed=20 – 15=5 kmph

Time=140/5=28 hours

149. The time taken by a boat to cover a distance of ‘D-36’ km upstream is half the time taken by it to cover a distance of ‘D’ km downstream. The ratio of the speed of downstream to that of upstream is 3:2. If the time taken to cover ‘D-22’ km upstream is 2 hours, then what is the speed of the current?

‘D-36’ किमी धारा के प्रतिकूल की एक दूरी को तय करने में नाव के द्वारा लिया गया समय, ‘D’ किमी धारा के अनुकूल की एक दूरी को तय करने में इसके द्वारा लिए गए समय का आधा है। धारा के अनुकूल से धारा के प्रतिकूल की गति का अनुपात 3: 2 है। यदि ‘D-22’ किमी धारा-प्रतिकूल दूरी को तय करने में लिया गया समय 2 घंटे है, तो धारा की गति क्या है?

A. 5 kmph
B. 8 kmph
C. 6 kmph
D. 4 kmph
E. None of these

Option “B” is correct.

2K = 16

3K = 24

 So, downstream speed = 24 kmph

Speed of current = (24 -16) / 2 = 4 kmph

150. The boat covers a certain distance along with stream in 12 hours and the same boat covers the same distance against stream in 20 hours. If the sum of the speed of downstream and upstream is 32 kmph, then find the speed of stream?

नाव धारा के अनुकूल निश्चित दूरी को 12 घंटे में तय करती है और वही नाव धारा के प्रतिकूल उसी दूरी को 20 घंटे में तय करती है। यदि धारा के अनुकूल और धारा के प्रतिकूल की गति का योग 32 किमी प्रति घंटा है, तो धारा की गति को ज्ञात कीजिए?

A. 2 kmph
B. 4 kmph
C. 5 kmph
D. 6 kmph
E. 10 kmph

Option “B” is correct.

Speed of the boat = x

Speed of stream = y

x = 32/2 = 16 kmph

d/(16 + y) = 12

d/(16 – y) = 20

12 * (16 + y) = 20 * (16 – y)

48 + 3y = 80 – 5y

y = 4 kmph

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