Class 10 Exam > Class 10 Questions > The diameter of the front and rear wheels of ...
Start Learning for Free
The diameter of the front and rear wheels of a tractor are 80 cm and 200 cm respectively. What are the number of revolution that a rear wheel makes to cover the distance which the front wheel covers in 800 revolutions?
- a)640
- b)320
- c)240
- d)300
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
The diameter of the front and rear wheels of a tractor are 80 cm and 2...
To solve this problem, we can use the concept of the circumference of a circle and the relationship between the circumference and diameter.
Given:
Diameter of the front wheel = 80 cm
Diameter of the rear wheel = 200 cm
Step 1: Calculate the circumference of each wheel
Circumference of a circle = π * diameter
Circumference of the front wheel = π * 80 cm
Circumference of the rear wheel = π * 200 cm
Step 2: Find the ratio of the circumferences
Since the front and rear wheels are connected to the same axle, they will cover the same distance in one revolution. Therefore, the ratio of the circumferences is equal to the ratio of the number of revolutions.
Ratio of the circumferences = (Circumference of the rear wheel) / (Circumference of the front wheel)
Ratio of the circumferences = (π * 200 cm) / (π * 80 cm) = 200 cm / 80 cm = 5/2
Step 3: Find the number of revolutions the rear wheel makes to cover the distance covered by the front wheel in 800 revolutions
Since the ratio of the circumferences is equal to the ratio of the number of revolutions, we can set up the following proportion:
(Revolutions of the rear wheel) / 800 = 5/2
Cross-multiplying, we get:
2 * (Revolutions of the rear wheel) = 800 * 5
2 * (Revolutions of the rear wheel) = 4000
Revolutions of the rear wheel = 4000 / 2
Revolutions of the rear wheel = 2000
Therefore, the rear wheel makes 2000 revolutions to cover the distance covered by the front wheel in 800 revolutions.
Hence, the correct answer is option B) 320.
Given:
Diameter of the front wheel = 80 cm
Diameter of the rear wheel = 200 cm
Step 1: Calculate the circumference of each wheel
Circumference of a circle = π * diameter
Circumference of the front wheel = π * 80 cm
Circumference of the rear wheel = π * 200 cm
Step 2: Find the ratio of the circumferences
Since the front and rear wheels are connected to the same axle, they will cover the same distance in one revolution. Therefore, the ratio of the circumferences is equal to the ratio of the number of revolutions.
Ratio of the circumferences = (Circumference of the rear wheel) / (Circumference of the front wheel)
Ratio of the circumferences = (π * 200 cm) / (π * 80 cm) = 200 cm / 80 cm = 5/2
Step 3: Find the number of revolutions the rear wheel makes to cover the distance covered by the front wheel in 800 revolutions
Since the ratio of the circumferences is equal to the ratio of the number of revolutions, we can set up the following proportion:
(Revolutions of the rear wheel) / 800 = 5/2
Cross-multiplying, we get:
2 * (Revolutions of the rear wheel) = 800 * 5
2 * (Revolutions of the rear wheel) = 4000
Revolutions of the rear wheel = 4000 / 2
Revolutions of the rear wheel = 2000
Therefore, the rear wheel makes 2000 revolutions to cover the distance covered by the front wheel in 800 revolutions.
Hence, the correct answer is option B) 320.
Free Test
FREE
| Start Free Test |
Community Answer
The diameter of the front and rear wheels of a tractor are 80 cm and 2...
Radius of front of wheel = 40 cm
Circumference =
Distance moved by it in 800 revolutions
Circumference of real wheel = 2π × 1 = 2π m.
No. of revolutions =
Circumference =
Distance moved by it in 800 revolutions
Circumference of real wheel = 2π × 1 = 2π m.
No. of revolutions =
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
The diameter of the front and rear wheels of a tractor are 80 cm and 200 cm respectively. What are the number of revolution that a rearwheel makes to cover the distance which the front wheel covers in 800 revolutions?a)640b)320c)240d)300Correct answer is option 'B'. Can you explain this answer?
Question Description
The diameter of the front and rear wheels of a tractor are 80 cm and 200 cm respectively. What are the number of revolution that a rearwheel makes to cover the distance which the front wheel covers in 800 revolutions?a)640b)320c)240d)300Correct answer is option 'B'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The diameter of the front and rear wheels of a tractor are 80 cm and 200 cm respectively. What are the number of revolution that a rearwheel makes to cover the distance which the front wheel covers in 800 revolutions?a)640b)320c)240d)300Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The diameter of the front and rear wheels of a tractor are 80 cm and 200 cm respectively. What are the number of revolution that a rearwheel makes to cover the distance which the front wheel covers in 800 revolutions?a)640b)320c)240d)300Correct answer is option 'B'. Can you explain this answer?.
The diameter of the front and rear wheels of a tractor are 80 cm and 200 cm respectively. What are the number of revolution that a rearwheel makes to cover the distance which the front wheel covers in 800 revolutions?a)640b)320c)240d)300Correct answer is option 'B'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The diameter of the front and rear wheels of a tractor are 80 cm and 200 cm respectively. What are the number of revolution that a rearwheel makes to cover the distance which the front wheel covers in 800 revolutions?a)640b)320c)240d)300Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The diameter of the front and rear wheels of a tractor are 80 cm and 200 cm respectively. What are the number of revolution that a rearwheel makes to cover the distance which the front wheel covers in 800 revolutions?a)640b)320c)240d)300Correct answer is option 'B'. Can you explain this answer?.
Solutions for The diameter of the front and rear wheels of a tractor are 80 cm and 200 cm respectively. What are the number of revolution that a rearwheel makes to cover the distance which the front wheel covers in 800 revolutions?a)640b)320c)240d)300Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of The diameter of the front and rear wheels of a tractor are 80 cm and 200 cm respectively. What are the number of revolution that a rearwheel makes to cover the distance which the front wheel covers in 800 revolutions?a)640b)320c)240d)300Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The diameter of the front and rear wheels of a tractor are 80 cm and 200 cm respectively. What are the number of revolution that a rearwheel makes to cover the distance which the front wheel covers in 800 revolutions?a)640b)320c)240d)300Correct answer is option 'B'. Can you explain this answer?, a detailed solution for The diameter of the front and rear wheels of a tractor are 80 cm and 200 cm respectively. What are the number of revolution that a rearwheel makes to cover the distance which the front wheel covers in 800 revolutions?a)640b)320c)240d)300Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of The diameter of the front and rear wheels of a tractor are 80 cm and 200 cm respectively. What are the number of revolution that a rearwheel makes to cover the distance which the front wheel covers in 800 revolutions?a)640b)320c)240d)300Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The diameter of the front and rear wheels of a tractor are 80 cm and 200 cm respectively. What are the number of revolution that a rearwheel makes to cover the distance which the front wheel covers in 800 revolutions?a)640b)320c)240d)300Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup