Answer to Question #4655 in Mechanics | Relativity for hansa
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?
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 Vmd=Vm+Vs When man rows upstream he has his own velocity (Vm) and the stream velocity, which creates an obstacle for moving. Vmu=Vm-Vs. 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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