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If a car covers (2)/(5)^(th) of the tota...

If a car covers `(2)/(5)^(th)` of the total distance with `v_1` speed and `(3)/(5)^(th)` distance with `v_2`. Then average speed is

A

` (1)/( 2) srqt(v_1v_2)`

B

` (v_1+v_2)/( 2) `

C

` (2v_1v_2)/( v_1+v_2) `

D

` (5v_1v_2)/( 3v_1+2v_2) `

Text Solution

Verified by Experts

The correct Answer is:
D
Average speed `=(" Total istance travelled ")/("Total time taken "), " " =(x)/((2x//5)/(v_1) +((3x//5)/(v_2))) =(5v_1v_2)/(3v_1+2v_2) `
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