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