Example 12: A Motorbike Travels 220 Km In 5 Liters Of Petrol. How Much Distance Will It Cover In 1.5 Liters Of Petrol?

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Introduction

Understanding the problem is the first step to solving it. In this example, we are given the distance covered by a motorbike in a certain amount of petrol and asked to find the distance it will cover in a different amount of petrol. This is a classic problem of proportionality and unitary method.

Given Information

  • Distance covered by the motorbike in 5 liters of petrol = 220 km
  • Amount of petrol in which we need to find the distance covered = 1.5 liters

Formula

To solve this problem, we can use the unitary method. The formula for this method is:

Distance = (Given Distance) × (Given Quantity) ÷ (Quantity in which we need to find the distance)

Solution

Substituting the given values in the formula, we get:

Distance = (220 km) × (5 liters) ÷ (1.5 liters)

Calculations

To find the distance, we need to perform the following calculations:

  1. Multiply 220 km by 5 liters: 220 km × 5 liters = 1100 km-liters
  2. Divide the result by 1.5 liters: 1100 km-liters ÷ 1.5 liters = 733.33 km

Answer

Therefore, the motorbike will cover 733.33 km in 1.5 liters of petrol.

Explanation

The unitary method is a simple and effective way to solve problems involving proportionality. In this example, we used the unitary method to find the distance covered by the motorbike in 1.5 liters of petrol. The formula for the unitary method is:

Distance = (Given Distance) × (Given Quantity) ÷ (Quantity in which we need to find the distance)

This formula can be used to solve a wide range of problems involving proportionality.

Real-World Applications

The unitary method has many real-world applications. For example, it can be used to calculate the cost of goods, the amount of time required to complete a task, and the distance covered by a vehicle. In this example, we used the unitary method to find the distance covered by a motorbike in 1.5 liters of petrol.

Conclusion

In conclusion, the unitary method is a powerful tool for solving problems involving proportionality. By using the unitary method, we can easily find the distance covered by a motorbike in a certain amount of petrol. This method can be used to solve a wide range of problems and has many real-world applications.

Example Problems

Here are a few example problems that can be solved using the unitary method:

  • A car travels 300 km in 10 liters of petrol. How much distance will it cover in 2.5 liters of petrol?
  • A bicycle travels 120 km in 3 liters of petrol. How much distance will it cover in 1.5 liters of petrol?
  • A bus travels 240 km in 6 liters of petrol. How much distance will it cover in 2 liters of petrol?

Practice Problems

Here are a few practice problems that can be solved using the unitary method:

  • A motorbike travels 180 km in 4 liters of petrol. How much distance will it cover in 1 liter of petrol?
  • A scooter travels 150 km in 3 liters of petrol. How much distance will it cover in 1.5 liters of petrol?
  • A truck travels 300 km in 8 liters of petrol. How much distance will it cover in 2 liters of petrol?

Summary

In this article, we learned how to use the unitary method to solve problems involving proportionality. We used the unitary method to find the distance covered by a motorbike in 1.5 liters of petrol. We also discussed the real-world applications of the unitary method and provided a few example problems and practice problems that can be solved using this method.

Introduction

In the previous article, we learned how to use the unitary method to solve problems involving proportionality. We used the unitary method to find the distance covered by a motorbike in 1.5 liters of petrol. In this article, we will provide a Q&A section to help you understand the concept better.

Q&A

Q1: What is the unitary method?

A1: The unitary method is a simple and effective way to solve problems involving proportionality. It involves finding the value of one unit of a quantity and then using that value to find the value of a different quantity.

Q2: How do I use the unitary method to solve problems?

A2: To use the unitary method, you need to follow these steps:

  1. Identify the given information and the information you need to find.
  2. Use the given information to find the value of one unit of a quantity.
  3. Use the value of one unit to find the value of the quantity you need to find.

Q3: What is proportionality?

A3: Proportionality is a relationship between two or more quantities where the ratio of the quantities remains constant. For example, if a car travels 300 km in 10 liters of petrol, the ratio of distance to petrol is 300 km / 10 liters = 30 km/liter.

Q4: How do I find the distance covered by a vehicle in a certain amount of petrol?

A4: To find the distance covered by a vehicle in a certain amount of petrol, you need to use the unitary method. You can use the formula:

Distance = (Given Distance) × (Given Quantity) ÷ (Quantity in which you need to find the distance)

Q5: What are some real-world applications of the unitary method?

A5: The unitary method has many real-world applications, including:

  • Calculating the cost of goods
  • Finding the amount of time required to complete a task
  • Determining the distance covered by a vehicle
  • Calculating the amount of fuel required for a journey

Q6: Can I use the unitary method to solve problems involving time and distance?

A6: Yes, you can use the unitary method to solve problems involving time and distance. For example, if a car travels 300 km in 5 hours, you can use the unitary method to find the distance it will cover in 2 hours.

Q7: How do I convert units of measurement?

A7: To convert units of measurement, you need to use the conversion factor. For example, if you need to convert kilometers to miles, you can use the conversion factor 1 km = 0.621371 miles.

Q8: What are some common mistakes to avoid when using the unitary method?

A8: Some common mistakes to avoid when using the unitary method include:

  • Not identifying the given information and the information you need to find
  • Not using the correct formula
  • Not converting units of measurement correctly
  • Not checking the units of measurement in the final answer

Conclusion

In this article, we provided a Q&A section to help you understand the concept of the unitary method better. We discussed how to use the unitary method to solve problems involving proportionality, and provided some real-world applications of the unitary method. We also discussed some common mistakes to avoid when using the unitary method.

Practice Problems

Here are a few practice problems that you can use to test your understanding of the unitary method:

  • A car travels 400 km in 8 hours. How much distance will it cover in 4 hours?
  • A bicycle travels 120 km in 3 hours. How much distance will it cover in 2 hours?
  • A bus travels 240 km in 6 hours. How much distance will it cover in 3 hours?

Summary

In this article, we provided a Q&A section to help you understand the concept of the unitary method better. We discussed how to use the unitary method to solve problems involving proportionality, and provided some real-world applications of the unitary method. We also discussed some common mistakes to avoid when using the unitary method.