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Q.

The stream of a river is flowing with a speed of 2 km/h. A swimmer can swim at a speed of 4 km/h. What should be the direction of the swimmer with respect to the flow of the river to cross the river straight?

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a

150º

b

60º

c

90º

d

120º

answer is D.

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Detailed Solution

to cross the river straight, Valong the river = 0           Vsteam  = Vswimmer cosθ           2 =4cosθ⇒cosθ=12           ⇒θ=60º           Direction w.r.t flow of river = 180º-60º = 120º
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