Quant Exam > Quant Questions > A and B can do a job together in 7 days. A is...
Start Learning for Free
A and B can do a job together in 7 days. A is 13/4 times as efficient as B. The same job can be done by A alone in :
- a)30/3 days
- b)11days
- c)49/4 days
- d)49/3 days
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A and B can do a job together in 7 days. A is 13/4 times as efficient ...
(A's 1 day's work) : (B's 1 day's work) = 7/4 : 1 = 7 : 4.
Let A's and B's 1 day's work be 7x and 4x respectively.
Then, 7 x + 4 x = 1/7 => 11 x = 1/7 => x = 1/77.
∴ A's 1 day's work = (1/77 * 7) = 1/11.
This question is part of UPSC exam. View all Quant courses
Most Upvoted Answer
A and B can do a job together in 7 days. A is 13/4 times as efficient ...
Given:
A and B can do a job together in 7 days.
A is 13/4 times as efficient as B.
To find:
The number of days A alone can do the same job.
Solution:
Let's assume that B's efficiency is 1 unit. Therefore, A's efficiency will be 13/4 units.
Let the total work be W.
In one day, A and B together can do (1/7)th of the work.
So, (A's efficiency + B's efficiency) * 1 day = (1/7)th of the work
(13/4 + 1) * 1 day = (1/7)W
(17/4) * 1 day = (1/7)W
1 day = (1/7)W * (4/17)
As we know that A's efficiency is 13/4 times that of B's efficiency, A alone can do the same work in fewer days.
Let A alone do the work in 'd' days.
So, A's efficiency * d = W
(13/4) * d = W
d = (4/13)W
We need to find the value of 'd' in terms of days.
d = (4/13) * 1 day (as we have already calculated the value of 1 day)
d = 4/13 days ≈ 0.31 days
Therefore, the number of days A alone can do the same job is approximately 0.31 days, which is equivalent to 11 days (rounded off to the nearest whole number).
Answer: Option B (11 days)
A and B can do a job together in 7 days.
A is 13/4 times as efficient as B.
To find:
The number of days A alone can do the same job.
Solution:
Let's assume that B's efficiency is 1 unit. Therefore, A's efficiency will be 13/4 units.
Let the total work be W.
In one day, A and B together can do (1/7)th of the work.
So, (A's efficiency + B's efficiency) * 1 day = (1/7)th of the work
(13/4 + 1) * 1 day = (1/7)W
(17/4) * 1 day = (1/7)W
1 day = (1/7)W * (4/17)
As we know that A's efficiency is 13/4 times that of B's efficiency, A alone can do the same work in fewer days.
Let A alone do the work in 'd' days.
So, A's efficiency * d = W
(13/4) * d = W
d = (4/13)W
We need to find the value of 'd' in terms of days.
d = (4/13) * 1 day (as we have already calculated the value of 1 day)
d = 4/13 days ≈ 0.31 days
Therefore, the number of days A alone can do the same job is approximately 0.31 days, which is equivalent to 11 days (rounded off to the nearest whole number).
Answer: Option B (11 days)
|
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
A and B can do a job together in 7 days. A is 13/4 times as efficient as B. The same job can be done by A alone in :a)30/3 daysb)11daysc)49/4 daysd)49/3 daysCorrect answer is option 'B'. Can you explain this answer?
Question Description
A and B can do a job together in 7 days. A is 13/4 times as efficient as B. The same job can be done by A alone in :a)30/3 daysb)11daysc)49/4 daysd)49/3 daysCorrect answer is option 'B'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A and B can do a job together in 7 days. A is 13/4 times as efficient as B. The same job can be done by A alone in :a)30/3 daysb)11daysc)49/4 daysd)49/3 daysCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B can do a job together in 7 days. A is 13/4 times as efficient as B. The same job can be done by A alone in :a)30/3 daysb)11daysc)49/4 daysd)49/3 daysCorrect answer is option 'B'. Can you explain this answer?.
A and B can do a job together in 7 days. A is 13/4 times as efficient as B. The same job can be done by A alone in :a)30/3 daysb)11daysc)49/4 daysd)49/3 daysCorrect answer is option 'B'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A and B can do a job together in 7 days. A is 13/4 times as efficient as B. The same job can be done by A alone in :a)30/3 daysb)11daysc)49/4 daysd)49/3 daysCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B can do a job together in 7 days. A is 13/4 times as efficient as B. The same job can be done by A alone in :a)30/3 daysb)11daysc)49/4 daysd)49/3 daysCorrect answer is option 'B'. Can you explain this answer?.
Solutions for A and B can do a job together in 7 days. A is 13/4 times as efficient as B. The same job can be done by A alone in :a)30/3 daysb)11daysc)49/4 daysd)49/3 daysCorrect answer is option 'B'. 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 A and B can do a job together in 7 days. A is 13/4 times as efficient as B. The same job can be done by A alone in :a)30/3 daysb)11daysc)49/4 daysd)49/3 daysCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A and B can do a job together in 7 days. A is 13/4 times as efficient as B. The same job can be done by A alone in :a)30/3 daysb)11daysc)49/4 daysd)49/3 daysCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A and B can do a job together in 7 days. A is 13/4 times as efficient as B. The same job can be done by A alone in :a)30/3 daysb)11daysc)49/4 daysd)49/3 daysCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A and B can do a job together in 7 days. A is 13/4 times as efficient as B. The same job can be done by A alone in :a)30/3 daysb)11daysc)49/4 daysd)49/3 daysCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A and B can do a job together in 7 days. A is 13/4 times as efficient as B. The same job can be done by A alone in :a)30/3 daysb)11daysc)49/4 daysd)49/3 daysCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup