Question

# A vehicle covers a distance of $43.2km$ in $2.4litres$of petrol. How much distance will it cover in one litre of petrol?

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Solution

## From the given details we get to know thatTotal distance covered by the vehicle in $2.4litres$ of petrol $=43.2km$Distance covered in one liter of petrol $=43.2÷2.4$First, let us convert the decimals into fraction$43.2=\frac{432}{10}$$;2.4=\frac{24}{10}$So,$43.2÷2.4$ $=\left(\frac{432}{10}\right)÷\left(\frac{24}{10}\right)$Taking reciprocal of $\frac{24}{10}$ and multiplying we get, $=\left(\frac{432}{\overline{)10}}\right)×\left(\frac{\overline{)10}}{24}\right)\phantom{\rule{0ex}{0ex}}=\frac{432}{24}\phantom{\rule{0ex}{0ex}}=\frac{18}{1}\phantom{\rule{0ex}{0ex}}=18km$Hence, the total distance covered by one litre of petrol is $18km.$

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