Question

# A man filled his car tank with 20 litres of diesel to travel exactly 480 km. At the end of the day, he finds 8 litres of diesel left in the tank. How much distance did he cover?

A
258 km
B
210 km
C
250 km
D
288 km

Solution

## The correct option is D 288 kmGiven, 20 litres of diesel is required to cover 480 km. At the end of the day, 8 litres of diesel is left. So, litres of diesel consumed = (20 - 8) = 12 litres We know that, if, the number of litres of diesel consumed increases, then the distance covered also increases. So, Litres of diesel(x)∝Distance(y) ∴ x1y1 = x2y2 Given, x1 = 20 l y1 = 480 km x2 = 12 l and y2 = distance covered ⇒ y2 = x2 × y1x1 ⇒ y2 = 12 × 48020 = 288 km Mathematics

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