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

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

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

## Comments

Assignment Expert11.12.12, 14:28Your're absolutely right. Thanks for correcting us!

Sapan Sarkar11.12.12, 07:0732/6 - 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.

## Leave a comment