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Mathematics

A truck consumes 28 litres of diesel for moving through a distance of 448 km. How much distance will it cover in 64 litres of diesel?

Direct & Inverse Variations

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Answer

Let the truck consume x litres of diesel.

DieselDistance
28448
64x

Since it is a case of direct variation.

28448=64xx=64×44828x=28,67228x=1,024\therefore \dfrac{28}{448} = \dfrac{64}{x}\\[1em] \Rightarrow x = \dfrac{64 \times 448}{28}\\[1em] \Rightarrow x = \dfrac{28,672}{28}\\[1em] \Rightarrow x = 1,024

Hence, the truck will cover 1,024 km distance.

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