Question

If a car travels at a speed of 80 km/h for half of its travel time and 60 km/h for the remaining half of the time, what is the total speed of that car ?​

Answer 1

Given:-

A car travels at a speed of 80 km/h for half of its travel time and 60 km/h for the remaining half of the time.

To Find:-

• the total speed of that car.

Solution:-

Let the Time taken will be= t.

we know that:-

speed of car in during first half time= 80km/h

so,

Distance covered=80t km

as,

$\sf Speed= \frac{distance}{time}$

Also:-

speed of car in during second half time= 60km/h.

so,

Distance covered=60t km.

$\sf \: Total \: Distance = (80t + 60t)km$

$= > 140t \: km$

and

$\sf \: Total \: time = 2t$

in the question it is saying to find the total speed

So, $\sf \colorbox{red} Total \:Speed= \frac{total \:distance}{total \:speed}$

$= > \frac{140t \: km}{2t \: hr}$

$= > total \: speed = \frac{70km}{hr}$

∴ the total speed of that car is 70km/hr.