Question

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

Answer 1

Hint: Find the litres of diesel required for covering 1 km by dividing the total litres of diesel used by the distance covered. Then multiply it with 1650 km to find the litres required for 1650 km.

Complete step-by-step answer:
We need to find the diesel required by the truck to cover a distance of 1650 km. Before that, we find the litres of diesel required by the truck to cover 1 km.
We are given that 108 litres of diesel are required for covering 594 km. Hence, we can use division to find the amount of diesel required for 1 km. Hence, we have:
Diesel required per km = \[\dfrac{{108}}{{594}}\]
Simplifying, we have:
Diesel required per km = \[\dfrac{2}{{11}}\]
To find the diesel required for 1650 km, we need to repeatedly add the diesel required for 1 km. Hence, we use multiplication, which is repeated addition to find the answer.
Diesel required for 1650 km = \[\dfrac{2}{{11}} \times 1650\]
Simplifying, we have:
Diesel required for 1650 km = \[2 \times 150\]
Diesel required for 1650 km = \[300\]
Hence, 300 litres of diesel is required for the truck to travel 1650 km.

Note: We can also multiply 108 and 1650 first to obtain the diesel required for 1650 time 594 km. Then we can divide by 594 to find the amount of diesel required for 1650 km.