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Mathematics

A scooter consumes 2.5 litres of petrol in covering a distance of 85 km. What distance will it cover in 8 litres of petrol?

Unitary Method

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Answer

In 2.5 litres, distance covered = 85 km.

In 1 litre, distance covered = (852.5)\Big( \dfrac{85}{2.5}\Big) km. \quad[Less petrol, Less distance]

Multiply by 10 to remove decimals.

In 1 litre, distance covered = (85×102.5×10)=(85025)\Big( \dfrac{85 \times 10}{2.5 \times 10}\Big) = \Big( \dfrac{850}{25}\Big) km

In 8 litres, distance covered = (85025×8) km[More petrol, More distance]\Big( \dfrac{850}{25} \times 8\Big) \text{ km} \quad \text{[More petrol, More distance]}

= 34 x 8 km \quad (Dividing 850 and 25 by 25)

= 272 km.

Hence, the scooter will cover 272 km in 8 litres of petrol.

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