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Question

# A boat crosses a river from port A to port B, which are directly opposite to each other. The speed of the water is vw and that of boat is Vb relative to water. Assume Vb=2Vw. The time taken by the boat, if it has to cross the river directly on the AB line is (given AB=D)

A
2DVb3
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B
3D2Vb
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C
DVb2
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D
D2Vb
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Solution

## The correct option is A 2DVb√3 For the boat to travel along AB, the net velocity in horizontal direction should be zero. ⇒Vx=0−Vbsinθ+Vw=0⇒−2Vwsinθ=−Vw(∵Vb=2Vw)⇒θ=30∘Time=DVb cos30∘=2DVb√3

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