CBSE Class 5 Mathematics: The Fish Table - NCERT Solutions

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NCERT Solutions PDF Class 5 PDF

This chapter, 'The Fish Table,' for CBSE Class 5 Mathematics, introduces fundamental concepts of speed, distance, and time through engaging real-world scenarios involving fishing boats. Students will explore how different types of boats, like log boats and motor boats, cover varying distances in specific timeframes. The solutions break down calculations for determining travel time and distance, reinforcing understanding of basic arithmetic and the relationship between speed, distance, and time. These NCERT Solutions provide step-by-step guidance to help students solve problems related to calculating travel duration and distance covered at different speeds, making it an excellent resource for exam preparation and concept revision.

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Quick info

BoardCBSE
ClassClass 5
SubjectMathematics
Session2026
LanguageEnglish
TypeNCERT Solutions
ChapterChapter 1

Chapter summary

Chapter 1, 'The Fish Table,' focuses on introducing basic concepts of speed, distance, and time to Class 5 students. The NCERT Solutions cover problems related to calculating how long it takes to travel a certain distance or how far a vehicle can travel in a given time, using examples of log boats and motor boats. It emphasizes understanding the relationship between speed and distance covered over time.

Learning outcomes

  • Understand the relationship between speed, distance, and time.
  • Calculate the time taken to cover a specific distance given the speed.
  • Calculate the distance covered in a given time at a specific speed.
  • Solve word problems involving speed, distance, and time.
  • Interpret information presented in a tabular format (implied by 'Fish Table').

Topics covered

Paper topics

  • Speed
  • Distance
  • Time
  • Log Boats
  • Motor Boats
  • Calculating Travel Time
  • Calculating Distance Covered
  • Fractions of an Hour

Important topics

  • Speed, Distance, Time Relationship
  • Calculating Time for a Given Distance
  • Calculating Distance for a Given Time
  • Understanding Boat Speeds

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Questions and Solutions

Question 1

These log boats do not go very far. If the wind is helpful, they travel about 4 km in one hour.
  • How long will they take to go a distance of 10 km?
  • Guess how far you can go in one hour if you walk fast.
Solution:

The speed of the log boat is given as 4 km per hour. This means it covers 4 km in 1 hour.

To find out how long it will take to travel 10 km, we can think about how many 4 km segments fit into 10 km.

In the first hour, the boat travels 4 km.

In the second hour, the boat travels another 4 km, making a total of 8 km (4 km + 4 km).

The remaining distance is 2 km (10 km - 8 km).

Since the boat travels 4 km in 1 hour, it will travel 2 km (which is half of 4 km) in half an hour (or 30 minutes).

So, the total time taken to travel 10 km is 1 hour + 1 hour + half an hour, which equals 2\frac{1}{2} hours.

Answer to the first part: The log boat will take 2\frac{1}{2} hours to go a distance of 10 km.

Answer to the second part: This is a personal observation question. A student might walk at a speed of about 4 to 5 km per hour when walking fast. Therefore, a student could guess they can go about 4 to 5 km in one hour.

Disclaimer: The answer to the second part may vary based on individual observation. Students are encouraged to make their own observations and answers.

Question 1

Find out Look at the sun and find out the direction from where it rises.
  • From where you are, what interesting thing do you see to your east?
  • Name two things that are lying to your west.
Solution:

This question requires personal observation of the surroundings based on the direction of the sunrise.

The sun rises in the East. To answer the questions, you need to stand facing East and observe what is in front of you (East), to your right (South), to your left (West), and behind you (North).

Answer to the first part: What you see to your East will depend on your location. For example, it could be a building, a tree, a road, or the sea.

Answer to the second part: Similarly, the things to your West will depend on your location. For instance, it could be a park, a school, a house, or a shop.

Disclaimer: The answers to these questions are based on individual observation and will vary from student to student. It is recommended that students observe their surroundings and provide their own answers.

Question 2

Some boats have motors and go further into the sea. Since they go far out they can catch more fish. These boats travel faster, at the speed of about 20 km in one hour.
  • How far would the motor boats go in three and a half hours?
  • How much time will they take to go 85 km?
Solution:

The speed of the motor boat is given as 20 km per hour. This means it covers 20 km in 1 hour.

Part 1: How far would the motor boats go in three and a half hours?

Distance covered in 1 hour = 20 km.

Distance covered in 3 hours = 3 hours * 20 km/hour = 60 km.

Distance covered in half an hour (\frac{1}{2} hour) = \frac{1}{2} * 20 km = 10 km.

Total distance covered in 3\frac{1}{2} hours = Distance in 3 hours + Distance in \frac{1}{2} hour

= 60 km + 10 km = 70 km.

Answer to the first part: The motor boats would go 70 km in three and a half hours.

Part 2: How much time will they take to go 85 km?

The speed of the motor boat is 20 km per hour.

To cover 80 km, the time taken would be 80 km / 20 km/hour = 4 hours.

The remaining distance to cover is 5 km (85 km - 80 km).

Since the boat travels 20 km in 1 hour, it travels 10 km in half an hour (\frac{1}{2} hour) and 5 km in a quarter of an hour (\frac{1}{4} hour).

So, the time taken to cover the remaining 5 km is \frac{1}{4} hour.

Total time taken to travel 85 km = Time for 80 km + Time for 5 km

= 4 hours + \frac{1}{4} hour = 4\frac{1}{4} hours.

Answer to the second part: They will take 4\frac{1}{4} hours to go 85 km.

Common mistakes

  • Incorrectly calculating fractions of an hour.
  • Errors in adding distances or times.
  • Confusing speed, distance, and time variables.
  • Misinterpreting the question's requirements for calculation.

Revision tips

  • Practice converting between hours and fractions of an hour (e.g., half an hour, quarter hour).
  • Draw simple diagrams or number lines to visualize distances and times.
  • Ensure you understand the speed of each type of boat before solving problems.
  • Review the addition of mixed numbers for time calculations.

Practice MCQs

Q1. A log boat travels at 4 km per hour. How long will it take to travel 8 km?

Q2. A motor boat travels at 20 km per hour. How far can it go in 2 hours?

Q3. If a boat travels 10 km in half an hour, what is its speed per hour?

Q4. How much time will a motor boat take to travel 40 km if its speed is 20 km per hour?

Frequently asked questions

What is the main concept covered in CBSE Class 5 Maths Chapter 1?

Chapter 1, 'The Fish Table,' introduces and reinforces the concepts of speed, distance, and time, and how they are related. It uses examples of boats to illustrate these concepts.

How do these NCERT Solutions help students?

These solutions provide detailed, step-by-step explanations for each problem, helping students understand the methods to calculate travel time and distance, and how to solve related word problems.

What is the speed of a log boat mentioned in the chapter?

A log boat travels at a speed of about 4 km in one hour.

What is the speed of a motor boat mentioned in the chapter?

A motor boat travels faster, at a speed of about 20 km in one hour.

How can students use these solutions for revision?

Students can use these solutions to review the calculation methods for speed, distance, and time problems, check their own answers, and understand the logic behind solving each type of question.

Important links

Content reviewed by the NCERT Help team. Editorial Team and update policy

NCERT Solutions PDF PDF on NCERT Help. URL unchanged for search indexing.