Question

A vehicle covers a distance of 43.2 km in 2.4 litres of petrol. How much distance will it cover in one litre of petrol?

Answer 1

Hint: We will use a unitary method to solve this question. For 2.4 litres of petrol the distance travelled by vehicle is given so we just have to divide the distance travelled by the litres of petrol consumed to get our answer.

Complete step-by-step answer:
Before proceeding with the question we should understand the concept of unitary method.
The unitary method is a method in which we find the value of a unit and then the value of a required number of units. What can units and values be?
Suppose we go to the market to purchase 6 oranges. The shopkeeper tells us that he is selling 10 oranges for Rs 100. In this case, the oranges are the units and the cost of the oranges is the value. While solving a problem using the unitary method, it is important that we recognize the units and values. For simplification, we always write the things to be calculated on the right-hand side and things known on the left-hand side. In the above problem, we know the amount of the number of oranges and the value of the oranges is unknown. It should be noted that the concept of ratio and proportion is used for problems related to this method.
It is mentioned in the question that it takes a vehicle 2.4 litres of petrol to travel a distance of 43.2 km.
So in 1 litre of petrol the vehicle travels a distance of \[\dfrac{43.2}{2.4}=18\] km.
Hence the distance covered by the vehicle in one litre petrol is 18 km.

Note: We have to remember the concept of unitary method to solve this question. We in a hurry can commit a mistake by writing 43.2 km travelled in 2.4 litres and hence we will calculate 1 km travelled in what quantity of petrol but here the question asks the viceversa so we need to be careful.