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
Answered by Expert
Answer:
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)
.......................(4)
Answered by Expert
31st August 2018,
12:08 PM
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