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Q.

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

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a

1 km hr−1

b

3 km hr−1

c

4 km hr−1

d

41 km hr−1

answer is B.

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Detailed Solution

v¯BG=v¯BW+v¯WGB-Boat, G-ground, W-watervBG=1 km15 minutes=4 km hr−1v¯BW=v¯BG−v¯WGvWG=52−42=3 km hr−1 .
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A boat which has a speed of 5 km h−1  in still water crosses a river of width 1 km along the shortest possible path in 15 minutes. The velocity of the river water is