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?
The correct option is D 288 km
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
x1 = 20 l
y1 = 480 km
x2 = 12 l
and y2 = distance covered
⇒ y2 = x2 × y1x1
⇒ y2 = 12 × 48020 = 288 km