A motor boat going downstream overcame …
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A motor boat going downstream overcame a raft at a point A . time constant-60 min later it turned back and after some time passed the raft at a distance of 6 Km from the point A.find the flow velocity assuming the duty of the engine to be constant
Posted by Nandita Sharma 7 years, 10 months ago
- 1 answers
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Arpita Banerjee 7 years, 10 months ago
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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