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If a car covers 2/5 th of the total dis...

If a car covers 2/5 th of the total distance with v_(1) speed and 3/5th distance with v_(2) then average speed is

A

`1/2sqrt(v_(1)v_(2))`

B

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

C

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

D

`(5v_(1)v_+(2))/(3v_(1)+2v_(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
Average speed = `("Total distance travelled")/( "Total time taken")`
`(x)/(2x//5)/(v_(1))+(3x//5)/(v_(2))=(5v_(1)v_(2))/(3v_(1)+2v_(2))`
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