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# A motion boat going down stream comes over a floating body at a point A. 60 minutes later it turned back and after some time passed the floating body at a distance of 12km from the point A. Find the velocity  of the stream assuming constant velocity for the motor boat in still water

Asked by valavanvino1011 31st August 2018, 6:54 AM
Let speed of stream U km/hr and speed of motion boat in still water be V km/hr.

down strem speed of motion boat = (U+V) km/hr

distance moved by motion boat while travelling downstream after crossing point A = (U+V)×1 = (U+V) km ..................(1)

let t be time in hour for the motor boat to meet the floating object after it has turned back.

Hence in (1+t) hour floating object has travelled 12 km, hence we have, 12 = U×(1+t) ..................(2)

The time t is written as , using the upstream speed (V-U) of motion boat and
the distance [(U+V)-12 ] km travelled for its backward journey.

t = [(U+V)-12 ] / (V-U) ......................(3)

By substituing t from (3) in (2), we get,     .......................(4)

Answered by Expert 31st August 2018, 12:08 PM
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Tags: velocity