Boats and Streams
- A man can row upstream 36 m in 6 hours. If the speed of a man in still water is 8 km/hr, find how much he can go downstream in 10 hours ?
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∵ Speed of current = 8 - 36/6 = 2 km/hr
⇒ Rate downstream = (8 + 2) = 10 km/hrCorrect Option: D
∵ Speed of current = 8 - 36/6 = 2 km/hr
⇒ Rate downstream = (8 + 2) = 10 km/hr
∴ Required distance = (8 + 2) x 10 = 100 km
- A man can row upstream at 15 km/h and downstream at 21 km/h. The speed of water current of the river is ?
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Speed of water current =( Vd - Vu)/2
Correct Option: C
Speed of water current =( Vd - Vu)/2
= (21 - 15) /2
= 3 km/h
- A man rows downstream 60 km and upstream 36 km, taking 4 hours each time. The speed of the man is :
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Sd = 15 km/h
Su = 9 km/h
Speed of man= (Sd + Su)/2Correct Option: D
Sd = 15 km/h
Su = 9 km/h
Speed of man= (Sd + Su)/2
∴ Speed of man = (15 + 9)/ 2 = 12 km/h
- What time will be taken by a boat to cover a distance of 128 km along the stream, if speed of a boat in still water is 24 km/h and speed of stream is 8 km/h?
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Downstream speed of boat = Speed of boat in still water + Speed of stream
Required time = Distance/Speed downstreamCorrect Option: A
Downstream speed of boat = Speed of boat in still water + Speed of stream
= 24 + 8 = 32 km/h
∴ Required time = Distance/Speed downstream
= 128/32 = 4 km/h
- Keshav can row 60 km downstream and 36 km upstream, taking 10 h each time. What is the velocity of the current?
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Velocity of the current = (speed downstream - Speed upstream)/2
Correct Option: D
Speed upstream = Distance/Time = 60/10 = 6 km/h
Speed upstream = Distance/Time = 36/10 = 3.6 km/h
∴ Velocity of the current = (speed downstream - Speed upstream)/2
= (6 - 3.2)/2 = 1.2 km/h