Q.

A boat man can row with a speed of 10 km/hr in still water. If the river flows at 5 km/h, the direction in which the boat man should row to reach a point on the other bank directly opposite to the point from where he started is (width of the river is 2km)

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a

In a direction inclined at 1200 to the direction of river flow

b

In a direction inclined at 900 to the direction of river flow

c

600 in the North-West direction

d

Should row directly along the river flow

answer is A.

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Detailed Solution

ucosθ=u2−v2 u2cos2θ=u2−v2100cos2θ=100−25=75cos2θ=34cosθ=34=cos300,θ=300From the direction of river flow =30+90=1200
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