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A motorboat going downstream overcame a raft at a point A;t = 60 min later it turned back and after some time passed the raft at a distance l = 6.0 km from

the point A. Find the flow velocity.
Assuming duty of motorboat is constant.


Let x km/minute be the velocity of flow
                         and speed of boat in still water= y km/minute
let after time=t minutes it passes the raft
The travel time of raft is (60+t) minutes
       and the distance traveled is (60+t)*x = 6
                                             t = 6/x-60
From the question 60(x+y) - t(y-x) = 6
                           60x + 60y - (6/x - 60)(y - x) = 6
                       ⇒  60x + 60y - 6y/x + 60y + 6 - 60x = 6
                       ⇒ 120y - 6y/x=0
                       ⇒  20y=y/x
                           x=1/20=1/20 km/minute= 3km/hr
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