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Q.

A boat which has a speed of 5kmh1 in still water, crosses a river of width 1 km along the shortest possible path in 15 min. The velocity of the river water (in kmh1) is ________

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answer is 3.

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Detailed Solution

Shortest possible path comes when absolute velocity of boatman comes perpendicular to river current as shown in the figure.
Question Image   
t=ωvb=ωvbr2vr2 
14=125vr2 
Solving this equation, we get vr=3  kmh1 

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