Calculating Car Mileage with Different Fuel Quantities

When using fuel for a car, understanding how much distance can be covered with a certain amount of petrol is essential. This article will demonstrate how to perform the calculation for a car, using the example of how far a car can travel with 2.75 litres of petrol, given that it runs 20 km per litre of petrol.

Understanding the Problem

Let's break it down. If a car can run 20 km using 1 litre of petrol, we need to determine how much distance it can cover with 2.75 litres of petrol.

Solving the Problem

The simplest method to solve this problem is to set up a proportional relationship.

Direct Proportional Relationship

If we know the car runs 20 km per litre, then the proportion can be set up as:

20 km/1 litre x km/2.75 litres

Multiplying both sides by 2.75 litres:

20 km * 2.75 litres x km

Dividing 20 by 1 and multiplying by 2.75 gives:

x 20 * 2.75 55 km

So, a car can cover 55 km with 2.75 litres of petrol.

Step-by-Step Explanation

To calculate the distance a car can travel using 3 3/4 litres of petrol, when it runs 24 km per litre, we can follow these steps:

1. Convert 3 3/4 to a fraction: 3 3/4 15/4

2. The distance for 1 litre is 24 km. Using the same ratio, the distance for 15/4 litres can be calculated as:

24 km * 15/4 90 km

Therefore, the car can travel 90 km with 3 3/4 litres of petrol.

Another Example

Consider the case where the car runs 18 km per litre.

If we need to find out how much distance the car can cover with 3 1/3 or 10/3 litres of petrol:

18 km/1 litre x km/10/3 litres

Multiplying both sides by 10/3 gives:

x 18 * 10/3 60 km

Hence, the car can travel 60 km with 3 1/3 litres of petrol.

Conclusion and Learning Tips

During your formative years, you might have posed such questions. As you grow into a young adult, it's important to develop better study habits. Understanding basic mathematical calculations such as mileage conversion can be incredibly useful.

By practicing such problems, you enhance your problem-solving skills, which are valuable in both academic and real-world scenarios.