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 4km , the time taken by him to reach a point directly opposite to him is
A
5√74hr
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B
4√35hr
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C
2√3hr
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D
3√24hr
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Solution
The correct option is C2√3hr
From the diagram, sinθ=VrVbr=24=12 ⇒θ=30∘ Time t=Width of river Component of velocity perpendicular to the direction of flow⇒t=dVb ⇒t=d4cosθ=44cos30∘=2√3hr