Question

A truck requires 108 litres of diesel for covering a distance of 594km. How much diesel will be required by the truck to cover a distance of 1650km?

Answer 1

Hint: Calculate the amount of diesel required by truck to cover 1km by dividing 108 by 594. To calculate the amount of diesel required to cover 1650km, multiply 1650 by the amount of diesel required to cover 1km.

Complete step-by-step answer:
We know that a truck can cover 594km using 108 litres of diesel. We have to calculate the amount of diesel required to cover 1650km.
We will first calculate the amount of diesel required to cover 1km. To do so, we will divide 108 by 594 as we require 108 litres to cover 594km.
Thus, the amount of diesel required to cover 1km is $=\dfrac{108}{594}$.
We will now calculate the amount of diesel required to cover 1650km. To do so, we will multiply 1650 by the amount of diesel required to cover 1km.
Thus, the amount of diesel required to cover 1650km is $=\dfrac{108}{594}\times 1650$.
Simplifying the above expression, the amount of diesel required to cover 1650km is $=\dfrac{108}{594}\times 1650=300$.
Hence, a truck requires 300 litres of diesel to cover 1650km.

Note: We have solved this question using the unitary method. It is a technique used for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.