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A man travels one-third part of his tota...

A man travels one-third part of his total distance with speed `v_(1)` and rest two-third part with speed `v_(2)`. Find out the average speed of the man?

A

`(3v_(1)v_(2))/(v_(1)+v_(2))`

B

`(2v_(1)v_(2))/(v_(1)+ v_(2))`

C

`(3v_(1)v_(2))/(2v_(1)+v_(2))`

D

`(3v_(1)v_(2))/(v_(1)+2v_(2))`

Text Solution

Verified by Experts

The correct Answer is:
C

`(1)/(v_(av))=1/3 ((1)/(v_(1))+(2)/(v_(2)))=((v_(2)+2v_(1))/(3v_(1)v_(2)))`
`v_(av) =(3 v_(1)v_(2))/(v_(2)+2v_(1))`
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