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Question

# A boat crosses a river from port A to port B, which are just on the opposite side. The speed of the water is VW and that of boat is VB relative to water. Assume VB=2VW. What is the time taken by the boat, if boat has to cross the river directly on the AB line? (D= width of river)

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√3To move straight along AB, v sin θ=VWsin θ=VWVB=VW2VW=12∴θ=30∘ Time taken to cross the river, t=DVB cosθ=DVBcos30∘=2DVB√3

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