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Answer to Question #4655 in Mechanics | Relativity for hansa

Question #4655
a man can row downstream 32km in 6 hours.he can row 14km in same time if it is upstream,then the velocity of the stream is?
Expert's answer
The average velocity of man rowing downstream is& 32/6 km/h
The average velocity of man rowing upstream is& 14/6 km/h
The difference between average velocities is caused by the stream velocity. So the stream velocity can be found in such way:
Let the stream velocity& (Vs)=x, then
when man rows downstream he has his own velocity (Vm) and the stream velocity
When man rows upstream he has his own velocity (Vm) and the stream velocity, which creates an obstacle for moving.
So, Vmd=Vm+Vs &
32/6=Vm+x => Vm=32/6-x
& Vmu=Vm-Vs
14/6=Vm-x => Vm=14/6+6

Hence 32/6-x=14/6+x => x=3/2 km/h
the velocity of the stream is 3/2 km/h

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Assignment Expert
11.12.12, 14:28

Your're absolutely right. Thanks for correcting us!

Sapan Sarkar
11.12.12, 07:07

32/6 - x = 14/6 + x
32/6 - 14/6 = x + x
18/6 = 2x
3 = 2x
x = 3/2,,, Then Explain Me How Your Answer Comes 3.

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