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Question

A truck can travel 448 km consuming 32 litres of diesel. If it travels at a constant speed of 48 km/h for 16 hours, then how many litres of diesel is consumed?
  1. 75.4 litres
  2. 60 litres
  3. 62.654 litres
  4. 54.857 litres


Solution

The correct option is D 54.857 litres
Given, to cover a distance of 448 km, a truck consumes 32 litres of diesel.

It travels at 48 km/h for 16 hours.
 Distance covered = speed × time
  Distance covered = 48 × 16
  Distance covered = 768 km 

We know that the longer distance the truck will cover, the more litres of diesel it will consume.

So, Distance(x)  Liters of diesel(y)
 x1y1 = x2y2

Given,
x1 = 448 km
y1 = 32 l
x2 = 768 km
and y2 = litres of diesel consumed
 44832 = 768y2
 y2 = 768 × 32448 = 54.857 l (approx)

So, while traveling at 48 km/h for 16 hours, the truck will consume 54.857 litres of diesel.

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