Quant Exam > Quant Questions > If A and B together can complete a piece of w...
Start Learning for Free
If A and B together can complete a piece of work in 15 days and B alone in 20 days, in how many days can A alone complete the work?
- a)60
- b)45
- c)40
- d)30
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
If A and B together can complete a piece of work in 15 days and B alon...
(A + B)’s 1 day’s work = 1/15
B’s 1 day’s work = 1/20
∴ A’s 1 day’s work
= 1/15 - 1/20
= (4-3)/60
= 1/60
∴ A alone will do the work in 60 days.
B’s 1 day’s work = 1/20
∴ A’s 1 day’s work
= 1/15 - 1/20
= (4-3)/60
= 1/60
∴ A alone will do the work in 60 days.
Most Upvoted Answer
If A and B together can complete a piece of work in 15 days and B alon...
Explanation:
Given data:
- A+B can complete work in 15 days
- B alone can complete work in 20 days
Let's calculate:
Efficiency:
Let's assume the total work to be done is 60 units (LCM of 15 and 20)
- A+B's efficiency: 60/15 = 4 units/day
- B's efficiency: 60/20 = 3 units/day
Work done by A alone:
As A+B's efficiency is 4 units/day and B's efficiency is 3 units/day, A's efficiency will be the difference between the two, which is 1 unit/day.
Time taken by A alone to complete the work:
Now, as A's efficiency is 1 unit/day, A will take 60 units of work in 60 days.
Therefore, A alone can complete the work in 60 days.
So, the correct answer is option A) 60.
Given data:
- A+B can complete work in 15 days
- B alone can complete work in 20 days
Let's calculate:
Efficiency:
Let's assume the total work to be done is 60 units (LCM of 15 and 20)
- A+B's efficiency: 60/15 = 4 units/day
- B's efficiency: 60/20 = 3 units/day
Work done by A alone:
As A+B's efficiency is 4 units/day and B's efficiency is 3 units/day, A's efficiency will be the difference between the two, which is 1 unit/day.
Time taken by A alone to complete the work:
Now, as A's efficiency is 1 unit/day, A will take 60 units of work in 60 days.
Therefore, A alone can complete the work in 60 days.
So, the correct answer is option A) 60.
Free Test
FREE
| Start Free Test |
Community Answer
If A and B together can complete a piece of work in 15 days and B alon...
A) 60
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
If A and B together can complete a piece of work in 15 days and B alone in 20 days, in how many days can A alone complete the work?a)60b)45c)40d)30Correct answer is option 'A'. Can you explain this answer?
Question Description
If A and B together can complete a piece of work in 15 days and B alone in 20 days, in how many days can A alone complete the work?a)60b)45c)40d)30Correct answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about If A and B together can complete a piece of work in 15 days and B alone in 20 days, in how many days can A alone complete the work?a)60b)45c)40d)30Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If A and B together can complete a piece of work in 15 days and B alone in 20 days, in how many days can A alone complete the work?a)60b)45c)40d)30Correct answer is option 'A'. Can you explain this answer?.
If A and B together can complete a piece of work in 15 days and B alone in 20 days, in how many days can A alone complete the work?a)60b)45c)40d)30Correct answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about If A and B together can complete a piece of work in 15 days and B alone in 20 days, in how many days can A alone complete the work?a)60b)45c)40d)30Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If A and B together can complete a piece of work in 15 days and B alone in 20 days, in how many days can A alone complete the work?a)60b)45c)40d)30Correct answer is option 'A'. Can you explain this answer?.
Solutions for If A and B together can complete a piece of work in 15 days and B alone in 20 days, in how many days can A alone complete the work?a)60b)45c)40d)30Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of If A and B together can complete a piece of work in 15 days and B alone in 20 days, in how many days can A alone complete the work?a)60b)45c)40d)30Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If A and B together can complete a piece of work in 15 days and B alone in 20 days, in how many days can A alone complete the work?a)60b)45c)40d)30Correct answer is option 'A'. Can you explain this answer?, a detailed solution for If A and B together can complete a piece of work in 15 days and B alone in 20 days, in how many days can A alone complete the work?a)60b)45c)40d)30Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of If A and B together can complete a piece of work in 15 days and B alone in 20 days, in how many days can A alone complete the work?a)60b)45c)40d)30Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If A and B together can complete a piece of work in 15 days and B alone in 20 days, in how many days can A alone complete the work?a)60b)45c)40d)30Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup