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NCERT Solutions
Class 8
Maths
Chapter 7 Proportional Reasoning 1
Exercise 7.4

NCERT Solutions for Class 8 Maths Chapter 7 Proportional Reasoning 1 - Exercise 7.4

Mastering complex motion and flow problems is simple with our NCERT Solutions for Class 8 Maths Ch 7: Proportional Reasoning – Exercise 7.4. This exercise focuses on real-world applications of inverse proportion, specifically looking at how speed affects travel time and how the number of pipes affects the time taken to fill a tank.

Class 8 Math Lessons (Ch 7): Learn to Solve Speed and Flow Problems with Ease! The solutions to Exercise 7.4 will be presented in a step-by-step approach to help students navigate the inverse relationship between rate and time. These solutions follow CBSE Guidelines to help you master competitive exam problems involving relative speed and filling rates.

1.0Download NCERT Solutions for Class 8 Maths Chapter 7 Ex 7.4 : Free PDF

Our easy-to-follow NCERT Solutions for Class 8 Maths Chapter 7 Exercise 7.4 are available for download as a PDF. Perfect for offline study and quick reference.

NCERT Solutions Class 8 Maths Chapter 7 Ex 7.4

Download PDF

2.0Key Concepts of Chapter 7 Proportional Reasoning 1 Exercise 7.4

  • Time and Speed Relationship: For a constant distance, speed and time are inversely proportional.
  • Pipe and Cistern Logic: The number of pipes used to fill a tank is inversely proportional to the time taken to fill it. If more pipes are open, the tank fills faster.
  • Rate of Work: Understanding that "Rate" is the amount of work done per unit of time.

3.0NCERT Solutions for Class 8 Maths Chapter 7 Proportional Reasoning 1 : All Exercises

NCERT Solutions for Class 8 Maths Chapter 7 Proportional Reasoning 1 - Exercise 7.1

NCERT Solutions for Class 8 Maths Chapter 7 Proportional Reasoning 1 - Exercise 7.2

NCERT Solutions for Class 8 Maths Chapter 7 Proportional Reasoning 1 - Exercise 7.3

NCERT Solutions for Class 8 Maths Chapter 7 Proportional Reasoning 1 - Exercise 7.4

4.0Benefits of NCERT Solutions for Class 8 Maths Chapter 7 Exercise 7.4

  • Conceptual Clarity: Helps students visualize "Flow Rates" and "Travel Efficiency."
  • Logical Structuring: Emphasizes converting units (like hours to minutes) before applying formulas.
  • Exam Readiness: Prepares students for the logic used in physics problems regarding velocity and time.

NCERT Class 8 Maths Ch. 7 Proportional Reasoning Other Exercises:-

Exercise 7.1

Exercise 7.2

Exercise 7.3

Exercise 7.4


NCERT Solutions Class 8 Maths All Chapters:-

Chapter 1 - A Square and a Cube

Chapter 2 - Power play

Chapter 3 - A story of Numbers

Chapter 4 - Quadrilaterals

Chapter 5 - Number Play

Chapter 6 - We distribute, yet things multiply

Chapter 7 - Proportional Reasoning

Frequently Asked Questions

Because the capacity of the tank is constant. If you increase the "speed" of filling (by adding more pipes), the "time" required to reach that constant capacity must decrease.

The constant is the Distance. Since Distance = Speed x Time, and distance doesn't change in these problems, the product of speed and time stays the same.Shutterstock Explore

In Class 8, we usually assume all pipes are "of the same type." If they were different, we would have to calculate their individual flow rates, which is covered in higher-grade mathematics.

No. If you go faster, you always arrive sooner (less time). If you go slower, you always arrive later (more time). This "opposite" behavior is the definition of inverse proportion.

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