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

## 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 \(= 43.2\rm\, km\)

\(\therefore\) Distance covered in \(1\) litre of petrol

\[\begin{align} & =43.2\div 2.4 \\{} & =43.2\times \frac{1}{2.4} \\ {} & =\frac{432}{10}\times \frac{10}{24} \\{} & =18\,\text{km} \\\end{align}\]

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