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

Options

A. `(1)/(2)sqrt(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))`

Answer

D

Explanation

avg speed`=("total distance")/("total time")=(S_(1)+S_(2))/((S_(1))/(V_(1))+(S_(2))/(V_(2)))`