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A person covers half the distance with s...

A person covers half the distance with speed `v_(1)` and remaining half with speed `v_(2)`. The average speed is given by

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
Average speed `=("Total distance of journey (s)")/("time taken")`
Time `=("distance")/("velocity")`
`v_(a) =(s) /((s//2)/(v_(1))+(s//2)/(v_(2)))=(2v_(1)v_(2))/(v_(1)+v_(2))`
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