Question

$60$ litres of diesel is required to travel $600km$ using a $800$cc engine. If the volume of diesel required to cover a distance varies directly as the capacity of the engine, then how many litres of diesel is required to travel $800kms$ using $1200$cc engine?

• A. $80$
• B. $90$
• C. $120$
• D. $170$

Answer 1

The correct option is C $120$

To cover a distance of $800kms$ using a $800cc$ engine, the amount of diesel required $=\frac{800}{600}\times 60=80$ litres.
However, the vehicle uses a $1200cc$ engine and the question states that the amount of diesel required varies directly as the engine capacity.
i.e., for instance, if the capacity of engine doubles, the diesel requirement will double too.
Therefore, with a $1200cc$ engine, quantity of diesel required $=\frac{1200}{800}\times 80=120$ litres.