Class 8 Exam > Class 8 Questions > Two men can do a piece of work in 6 hours and...
Start Learning for Free
Two men can do a piece of work in 6 hours and 4 hours respectively.after the first has worked for 2 hours,he is joined by the other.by when should the work be completed?
Verified Answer
Two men can do a piece of work in 6 hours and 4 hours respectively.aft...
Let the two men be A & B
Given:
A can do a piece of work in 6 hours & B can do in 4 hours.
A’s 1 hour work = 1/6
B’s 1 hour work = 1/4
Both (A+B)’s 1 hour work = 1/6 + 1/4 = 5/12
=( 2+3)/12= 5/12
Both (A+B)’s 1 hour work = 5/12
After the first has worked for 2 hours ' he is joined by the other,
(A)’s 2 hour work = 2(1/6) = 2/6= 1/3
Remaining work = 1-1/3 = (3-1)/3= 2/3
5/12 work is done by (A+B) in 1 hrs
2/3 work is done by (A+B) in 12/5 x 2/3 = 8/5 hrs
Total time taken to be completed the work = 2 + 8/5 = 18/5 = (10+8)/5= 18/5
= 3 3/5 hrs = 3hr 36 min
Hence, the Total time taken to be completed the work = 3 3/5=3 hrs 36 min.
This question is part of UPSC exam. View all Class 8 courses
Most Upvoted Answer
Two men can do a piece of work in 6 hours and 4 hours respectively.aft...
Given Information:
- First man can complete the work in 6 hours.
- Second man can complete the work in 4 hours.
- The first man works for 2 hours alone before being joined by the second man.
Approach:
We need to determine the time it takes for both men working together to complete the entire work.
Solution:
Let's calculate the individual rates of work for each man in terms of the fraction of work they can complete per hour.
- The first man can complete 1/6th of the work per hour since he can finish the entire work in 6 hours.
- The second man can complete 1/4th of the work per hour since he can finish the entire work in 4 hours.
After the first man works alone for 2 hours, he completes 2/6th or 1/3rd of the work.
Calculation:
Now, let's determine the combined rate of work when both men work together.
- The combined rate of work is the sum of their individual rates of work.
- The combined rate of work for both men is (1/6 + 1/4) = (2/12 + 3/12) = 5/12th of the work per hour.
Since the first man has already completed 1/3rd of the work, only 2/3rd of the work remains.
To find the time required to complete 2/3rd of the work, we divide 2/3 by the combined rate of work:
Time = (2/3) / (5/12) = (2/3) * (12/5) = 8/5 hours.
Final Answer:
Therefore, the work should be completed after 8/5 hours, which is equivalent to 1 hour and 36 minutes.
- First man can complete the work in 6 hours.
- Second man can complete the work in 4 hours.
- The first man works for 2 hours alone before being joined by the second man.
Approach:
We need to determine the time it takes for both men working together to complete the entire work.
Solution:
Let's calculate the individual rates of work for each man in terms of the fraction of work they can complete per hour.
- The first man can complete 1/6th of the work per hour since he can finish the entire work in 6 hours.
- The second man can complete 1/4th of the work per hour since he can finish the entire work in 4 hours.
After the first man works alone for 2 hours, he completes 2/6th or 1/3rd of the work.
Calculation:
Now, let's determine the combined rate of work when both men work together.
- The combined rate of work is the sum of their individual rates of work.
- The combined rate of work for both men is (1/6 + 1/4) = (2/12 + 3/12) = 5/12th of the work per hour.
Since the first man has already completed 1/3rd of the work, only 2/3rd of the work remains.
To find the time required to complete 2/3rd of the work, we divide 2/3 by the combined rate of work:
Time = (2/3) / (5/12) = (2/3) * (12/5) = 8/5 hours.
Final Answer:
Therefore, the work should be completed after 8/5 hours, which is equivalent to 1 hour and 36 minutes.
Attention Class 8 Students!
To make sure you are not studying endlessly, EduRev has designed Class 8 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 8.
|
|
Explore Courses for Class 8 exam
|
|
Similar Class 8 Doubts
Top Courses for Class 8View all
Two men can do a piece of work in 6 hours and 4 hours respectively.after the first has worked for 2 hours,he is joined by the other.by when should the work be completed?
Question Description
Two men can do a piece of work in 6 hours and 4 hours respectively.after the first has worked for 2 hours,he is joined by the other.by when should the work be completed? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Two men can do a piece of work in 6 hours and 4 hours respectively.after the first has worked for 2 hours,he is joined by the other.by when should the work be completed? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two men can do a piece of work in 6 hours and 4 hours respectively.after the first has worked for 2 hours,he is joined by the other.by when should the work be completed?.
Two men can do a piece of work in 6 hours and 4 hours respectively.after the first has worked for 2 hours,he is joined by the other.by when should the work be completed? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Two men can do a piece of work in 6 hours and 4 hours respectively.after the first has worked for 2 hours,he is joined by the other.by when should the work be completed? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two men can do a piece of work in 6 hours and 4 hours respectively.after the first has worked for 2 hours,he is joined by the other.by when should the work be completed?.
Solutions for Two men can do a piece of work in 6 hours and 4 hours respectively.after the first has worked for 2 hours,he is joined by the other.by when should the work be completed? in English & in Hindi are available as part of our courses for Class 8.
Download more important topics, notes, lectures and mock test series for Class 8 Exam by signing up for free.
Here you can find the meaning of Two men can do a piece of work in 6 hours and 4 hours respectively.after the first has worked for 2 hours,he is joined by the other.by when should the work be completed? defined & explained in the simplest way possible. Besides giving the explanation of
Two men can do a piece of work in 6 hours and 4 hours respectively.after the first has worked for 2 hours,he is joined by the other.by when should the work be completed?, a detailed solution for Two men can do a piece of work in 6 hours and 4 hours respectively.after the first has worked for 2 hours,he is joined by the other.by when should the work be completed? has been provided alongside types of Two men can do a piece of work in 6 hours and 4 hours respectively.after the first has worked for 2 hours,he is joined by the other.by when should the work be completed? theory, EduRev gives you an
ample number of questions to practice Two men can do a piece of work in 6 hours and 4 hours respectively.after the first has worked for 2 hours,he is joined by the other.by when should the work be completed? tests, examples and also practice Class 8 tests.
|
|
Explore Courses for Class 8 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