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 \(= 43.2\rm\, km\)

\(\therefore\)  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.

  
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