Q.

A boat has speed of 5 km/h  in still water crosses a river of width 1 km  along the shortest possible path in15 min . The velocity of the river water in km/h  is

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a

1

b

3

c

4

d

41

answer is B.

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Detailed Solution

Shortest possible path comes when absolute velocity of boatman becomes perpendicular to river current as shown in figure.    t=ωvb=ωvbr2−vr2  ∴14=125−vr2Solving this equation, we get vr=3 km/h
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