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a man swim to and fro along the bank of a river with velocity v relative to water.If of flowis u the average speed of man is


Omkar 1st Nov, 2019
Answer (1)
ADITYA KUMAR Student Expert 1st Nov, 2019

Hello there!

Greetings!

It's quite easy,

We have ,velocity of the man in w.r.t. to river = v


velocity of the flow = u


Velocity of the man downstream = v + u


Velocity of the man downstream = v - u


Let the distance is d


Then


Time taken to travel the distance d downstream = d/(v+u)


time taken to travel the distance d ustreapm = d/(v-u)


Total time =d/(v+u) + d/(v-u) = 2vd/v^2-u^2

Now, Average speed = Total Distance/Total Time

= 2d/ (2vd/v^2-u^2)

=( v^2-u^2)/v


Thankyou

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