UPSC Exam > UPSC Questions > A does 80% of a work in 20 days. He then call...
Start Learning for Free
A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?
Most Upvoted Answer
A does 80% of a work in 20 days. He then calls in B and they together ...
Understanding the Problem
A does 80% of the work in 20 days. This implies that A's work rate can be calculated as follows:
- Total work = 100%
- Work done by A = 80%
- Days taken by A = 20 days
Calculating A's Work Rate
- A's work rate = Work done / Time taken
= 80% / 20 days
= 4% per day
Work Remaining
After A completes 80% of the work, 20% of the work is left:
- Remaining work = 100% - 80% = 20%
Work Done by A and B Together
A and B finish the remaining 20% of the work in 3 days. Therefore, their combined work rate is:
- Combined work rate = Remaining work / Time taken
= 20% / 3 days
= 6.67% per day
Calculating B's Work Rate
Since A's work rate is 4% per day, we can find B's work rate:
- Combined work rate = A's work rate + B's work rate
6.67% = 4% + B's work rate
B's work rate = 6.67% - 4%
= 2.67% per day
Calculating Time Taken by B Alone
To find out how long B alone would take to complete the whole work:
- Time taken by B = Total work / B's work rate
= 100% / 2.67%
≈ 37.5 days
Conclusion
Thus, B alone would take approximately 37.5 days to complete the entire work.
A does 80% of the work in 20 days. This implies that A's work rate can be calculated as follows:
- Total work = 100%
- Work done by A = 80%
- Days taken by A = 20 days
Calculating A's Work Rate
- A's work rate = Work done / Time taken
= 80% / 20 days
= 4% per day
Work Remaining
After A completes 80% of the work, 20% of the work is left:
- Remaining work = 100% - 80% = 20%
Work Done by A and B Together
A and B finish the remaining 20% of the work in 3 days. Therefore, their combined work rate is:
- Combined work rate = Remaining work / Time taken
= 20% / 3 days
= 6.67% per day
Calculating B's Work Rate
Since A's work rate is 4% per day, we can find B's work rate:
- Combined work rate = A's work rate + B's work rate
6.67% = 4% + B's work rate
B's work rate = 6.67% - 4%
= 2.67% per day
Calculating Time Taken by B Alone
To find out how long B alone would take to complete the whole work:
- Time taken by B = Total work / B's work rate
= 100% / 2.67%
≈ 37.5 days
Conclusion
Thus, B alone would take approximately 37.5 days to complete the entire work.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?
Question Description
A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?.
A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?.
Solutions for A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work? defined & explained in the simplest way possible. Besides giving the explanation of
A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?, a detailed solution for A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work? has been provided alongside types of A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work? theory, EduRev gives you an
ample number of questions to practice A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
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