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A body goes from point X to point Y with a velocity of 10m/s. I t comes back to X with a velocity of 20m/s. Theaverage velocity of the body during the journey is​

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sam78611

12.02.2017

Math

Secondary School

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A body goes from point x to point y with a speed of 10m s-1. It comes back to x with a speed of 20m s-1 . The average speed of the body during the journey is?

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abhi178

x============y

when body goes x to y let times take by body is t1

hence distance between x and y=10t1

hence t1=distance between x and y/10

again ,

when body comes from y to x let t2 times

take by body

t2=distance between y and x /20

we let distance between x and y=d

then ,

t1=d/10 and t2=d/20

now average speed=total distance covered by body /total time

=(d+d)/(t1 +t2)

=2d/(d/10+d/20)

=2 x 10 x 20/(20+10)

=400/30=40/3 m/s

hence average speed =40/3 m/s