Question

A car travels 90km in 2.5 hours, how much time is required to cover 60km with the same speed? Find the distance covered in 4 hours?

Answer 1

Hint- Here we will proceed by calculating the speed using distance i.e. 90km and time i.e. 2.5 hours. Then we will find time using distance i.e. 60km and speed i.e. 36km per hour. Also we will find distance using speed i.e. 36km per hour and time i.e. 4 hours.

Complete Step-by-Step solution:
As we are given that a car travels 90km distance in 2.5 hours.
Now we will use the formula of speed to calculate the speed of the car.
$speed = \dfrac{{Distance}}{{time}}$
By substituting the values of distance i.e. 90km and time i.e. 2.5 hours.
$speed = \dfrac{{90}}{{2.5}}$
Speed = 36km per hour
Now we will find the time required to complete the distance of 60 km by using the formula of time i.e. $time = \dfrac{{Distance}}{{speed}}$
By substituting the value of distance i.e. 60km and speed i.e. 36 km per hour in the formula,
We get-
$time = \dfrac{{60}}{{36}}$
$\Rightarrow \dfrac{5}{3}$ hours
$\Rightarrow$ 1.6 hours
Also the distance covered in 4 hours will be calculated by using the distance formula i.e. $speed \times time$
Distance $ = 36 \times 4$
$\Rightarrow$ Distance = 144km
Therefore, a car will take 1.6 hours to complete the distance of 60km.
Also in 4 hours, a car will cover the distance of 144km.

Note – While solving this question, we must remember that in order to calculate time using formula i.e. $time = \dfrac{{Distance}}{{speed}}$, we have to calculate speed first and then substitute the value of speed in formula of time.