Question

A car travells half the time with 40km/h and half with 60km/h.find the mean speed of the car?

Answer 1

$\underline{ \boxed{ \bold{ \rm{ \purple{ \huge{Answer}}}}}}$

Given :

A car travells half the time with 40 kmph and half with 60 kmph.

To Find :

Average speed of the car ??

Formula :

Formula of speed is given by

$\: \: \: \: \: \: \: \: \dag \: \underline{ \boxed{ \bold{ \rm{ \pink{speed = \frac{distance}{time}}}}}} \: \dag$

Calculation :

Let, car covers total distance in 2t time.

$\implies \rm \: v_{av} = \frac{total \: distance}{total \: time} \\ \\ \therefore \rm \: v_{av} = \frac{v_1t + v_2t}{t + t} = \frac{v_1 + v_2}{2} \\ \\ \therefore \rm \: v_{av} = \frac{40 + 60}{2} \\ \\ \therefore \: \underline{ \boxed{ \bold{ \rm{ \orange{v_{av} = 50 \: kmph}}}}}$