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Question

A man can row a boat 4 km/hr in still water. He is crossing a river where the current is 2 km/hr. If the width of the river is 8 km, the time taken by him to cross with zero drift is

A
83 hr
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B
233 hr
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C
43 hr
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D
328 hr
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Solution

The correct option is C 43 hr

From the diagram,
sinθ=VrVbr=24=12
θ=30

Time (t)=Width of riverComponent of velocity perpendicular to the direction of flow
t=dVb=w4cosθ=84cos30=823 hr

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