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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

120º

c

60º

d

90º

answer is D.

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Detailed Solution

to cross the river straight, V_{along the river}= 0

V_steam = V_swimmer $\cos θ$

2 = $4 \cos θ \Rightarrow \cos θ = \frac{1}{2}$

$\Rightarrow θ = 60 º$

Direction w.r.t flow of river = 180º-60º = 120º

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