# Ex.2.7 Q6 fractions-and-decimals Solutions-Ncert Maths Class 7

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## Question

A vehicle covers a distance of $$43.2 \rm\,km$$ in $$2.4$$ liters of petrol. How much distance will it cover in $$1$$ liter of petrol?

## Text Solution

What is known?

A vehicle covers a distance of $$43.2\, \rm{km}$$ in $$2.4$$ liters of petrol.

What is unknown?

How much distance will it Cover in $$1$$ liter of petrol.

Reasoning:

By using Unitary Method, we can simply divide $$43.2$$ by $$2.4$$ to get how much distance will vehicle cover in $$1$$ liter of petrol.

Steps:

Distance covered in $$2.4$$ liters of petrol $$= 43.2\rm\, km$$

\begin{align}\therefore \text{ Distance covered in }1\text{ liter of petrol } & =43.2\div 2.4 \\ {} & =43.2\times \frac{1}{2.4} \\ {} & =\frac{432}{10}\times \frac{10}{24} \\ {} & =18\text{km} \\\end{align}

Thus, it covers a distance of $$18 \rm\,km$$ in $$1$$ liter of petrol.

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