A man can row a boat 4km/hr in still water. He is crossing a river where the current is 2km/hr. If the width of the river is 8km, the time taken by him to cross with zero drift is
A
8√3hr
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B
2√33hr
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C
4√3hr
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D
3√28hr
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Solution
The correct option is C4√3hr
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∘=82√3hr