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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 4 km , the time taken by him to reach a point directly opposite to him is

A
574 hr
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B
435 hr
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C
23 hr
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D
324 hr
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Solution

The correct option is C 23 hr


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=23 hr

Alternate sol:
t=ABVbr=BCVr=ACVb
t=dVb=44222=23 hr

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