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?

• A. 62.654 litres
• B. 75.4 litres
• C. 60 litres
• D. 54.857 litres

Answer 1

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.
$\because \text{Distance covered}=\text{speed}\times \text{time}$
$\Rightarrow \text{Distance covered}=48\times 16$
$\Rightarrow \text{Distance covered}=768\text{km}$

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

$\text{So, Distance(x)}\propto \text{Liters of diesel}\left(y\right)$
$\therefore \frac{x_1}{y_1}=\frac{x_2}{y_2}$

Given,
$x_1=448\text{km}$
$y_1=32l$
$x_2=768\text{km}$
$\text{and}{y}_2=\text{litres of diesel consumed}$
$\Rightarrow \frac{448}{32}=\frac{768}{y_2}$
$\Rightarrow y_2=\frac{768\times 32}{448}=54.857l$(approx)

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