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Q.

A body which has a speed of 5km/hr in still water crosses a river of width 1km along the shortest possible path in 15minutes. The velocity of the river water in km/hr is

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a

1

b

3

c

4

d

41

answer is B.

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Detailed Solution

Vertical displacement = 1kmt=1560=14hr∴vb cosθ=11/4=4km/h⇒cosθ=4Vb=45⇒sinθ=35By velocity triangle ABC, Sinθ=vrvb∴vrvb=35⇒vr5=35⇒vr=3km/h
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