A man rows to a place 60 km distant and come back in 35 hours He finds that he can row 4 km with the...........

Quant (SSC) Boats and Streams

A man rows to a place 60 km distant and come back in 35 hours. He finds that he can row 4 km with the stream in the same time as 3 km against the stream. Find the speed in still water and in stream:

1.5, 2

0.5, 2.5

3.5, 0.5

2, 2.5

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Explanation:

If he moves 4 km downstream in x hours.
Downstream speed=4/x
Upstream speed=3/x
Then 60/(4/x) + 60/(3/x)=35
60[(3x+4x)/12]=35
60*7x/12=35
5*7x=35==> x=1km.
Then Downstream speed=4km/hr , Upstream speed=3km/hr
U=(4+3)/2=7/2=3.5km/hr
V=(4-3)/2=1/2=0.5km/hr