Question

If a car travels a certain distance at a speed of 60 kmph for 2 hours, how long will the car take to cover the same distance at 80 kmph?

Answer 1

We know that to cover a certain distance, when the speed increases, travel time taken decreases.

It is given that the car takes 2 hours to reach the destination, when it travels at a speed of 60 km/hr.

Now when the car is at the speed of 80 km/h, let the time taken by it to travel a certain distance by $T_2$ hours.

We know that as the speed increases the time will decrease. So distance and time are inversely proportional.

$\Rightarrow \left(S_1\right)\times \left(T_1\right)=\left(S_2\right)\times \left(T_2\right)$

$\Rightarrow \left(60\right)\times \left(2\right)=\left(80\right)\times \left(T_2\right)$

$\Rightarrow \left(T_2\right)=\frac{120}{80}$

$\Rightarrow \left(T_2\right)=1.5hours$

Hence the car takes 1.5 hours to reach the destination if it travels at a speed of 80 km/hr.