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?

Updated On: Jun 8, 2024
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Approach Solution - 1

For covering 594 km, a truck will be required diesel = 108 liters

∴ For covering 1 km, a truck will be required diesel = \(\frac{108}{594}\)

\(\frac{2}{11}\)

∴ For covering 1650 km, a truck will be required diesel = \(\frac{2}{11}\)×1650

= 300 liters

Thus, 300 liters diesel will be required by the truck to cover a distance of 1650 km.

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Approach Solution -2

Given:
The truck uses 108 liters of diesel to cover 594 km.
First, calculate the diesel consumption rate:
\(\text{Diesel consumption rate} = \frac{108 \, \text{liters}}{594 \, \text{km}}\)

\(\text{Diesel consumption rate} = \frac{108}{594}= \frac{2}{11} \, \text{liters per km}\)

Now, we need to find the amount of diesel required to cover 1650 km:
\(\text{Diesel required} = \text{Diesel consumption rate} \times \text{Distance}\)

\(\text{Diesel required} = \frac{2}{11} \, \text{liters per km} \times 1650 \, \text{km}\)

Calculate the diesel required:
\(\text{Diesel required} = \frac{2 \times 1650}{11}= \frac{3300}{11}\)

\(\text{Diesel required} = 300 \, \text{liters}\)

So, the answer is 300 liters.

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