Quant Exam > Quant Questions > A is 30% more efficient than B. How much time...
Start Learning for Free
A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?
- a)11 days
- b)13 days
- c)15 days
- d)none
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A is 30% more efficient than B. How much time will they, working toget...
Ratio of times taken by A and B = 100 : 130 = 10 : 13.
Suppose B takes x days to do the work.
Then, 10 : 13 :: 23 : x => x = (23*13/10) => x = 299/10.
A's 1 day's work = 1/23;
B's 1 day's work =10/299.
(A + B)'s 1 day's work = (1/23 + 10/299) = 23/299 = 1/13.
Therefore, A and B together can complete the work in 13 days.
Most Upvoted Answer
A is 30% more efficient than B. How much time will they, working toget...
Given:
A is 30% more efficient than B.
A alone can complete the job in 23 days.
To find:
How much time will they, working together, take to complete the job?
Solution:
Let's assume the total work to be done is 100 units.
Efficiency of A:
A is 30% more efficient than B.
Let's assume B's efficiency to be x units per day.
So, A's efficiency will be (x + 30% of x) units per day.
Efficiency of B:
B's efficiency is x units per day.
Time taken by A to complete the job:
A alone can complete the job in 23 days.
So, A's daily work rate will be 100/23 units per day.
Work done by A in one day:
A's efficiency = (x + 30% of x) units per day.
So, A can do (x + 30% of x)/100 * (100/23) = (23x + 6.9x)/230 = 29.9x/230 units of work in one day.
Time taken by B to complete the job:
B's efficiency = x units per day.
So, B can do x/100 * (100/23) = 23x/230 = x/10 units of work in one day.
Work done by A and B working together in one day:
A's work rate = 29.9x/230 units per day.
B's work rate = x/10 units per day.
Together, their work rate = (29.9x/230) + (x/10) units per day.
Time taken by A and B working together to complete the job:
Let's assume it takes t days for A and B to complete the job working together.
In t days, A will do (29.9x/230) * t units of work.
In t days, B will do (x/10) * t units of work.
The total work done in t days will be equal to 100 units.
Therefore, we have the equation:
(29.9x/230) * t + (x/10) * t = 100
Simplifying the equation:
(299x + 23x)/2300 * t = 100
322x/2300 * t = 100
(322x * t)/2300 = 100
322xt = 2300 * 100
322xt = 230000
Solving for t:
t = (230000)/(322x)
Substituting the value of x:
We don't have the specific value of x, so we cannot determine the exact value of t. However, we can determine the relationship between t and x.
From the equation t = (230000)/(322x), we can see that as x increases, t decreases. This means that as B becomes more efficient, the time taken by A and B working together will decrease.
Conclusion:
Therefore, based on the given information, we can conclude that the time taken by A and B working together to complete the job will be less than 23 days. Option B
A is 30% more efficient than B.
A alone can complete the job in 23 days.
To find:
How much time will they, working together, take to complete the job?
Solution:
Let's assume the total work to be done is 100 units.
Efficiency of A:
A is 30% more efficient than B.
Let's assume B's efficiency to be x units per day.
So, A's efficiency will be (x + 30% of x) units per day.
Efficiency of B:
B's efficiency is x units per day.
Time taken by A to complete the job:
A alone can complete the job in 23 days.
So, A's daily work rate will be 100/23 units per day.
Work done by A in one day:
A's efficiency = (x + 30% of x) units per day.
So, A can do (x + 30% of x)/100 * (100/23) = (23x + 6.9x)/230 = 29.9x/230 units of work in one day.
Time taken by B to complete the job:
B's efficiency = x units per day.
So, B can do x/100 * (100/23) = 23x/230 = x/10 units of work in one day.
Work done by A and B working together in one day:
A's work rate = 29.9x/230 units per day.
B's work rate = x/10 units per day.
Together, their work rate = (29.9x/230) + (x/10) units per day.
Time taken by A and B working together to complete the job:
Let's assume it takes t days for A and B to complete the job working together.
In t days, A will do (29.9x/230) * t units of work.
In t days, B will do (x/10) * t units of work.
The total work done in t days will be equal to 100 units.
Therefore, we have the equation:
(29.9x/230) * t + (x/10) * t = 100
Simplifying the equation:
(299x + 23x)/2300 * t = 100
322x/2300 * t = 100
(322x * t)/2300 = 100
322xt = 2300 * 100
322xt = 230000
Solving for t:
t = (230000)/(322x)
Substituting the value of x:
We don't have the specific value of x, so we cannot determine the exact value of t. However, we can determine the relationship between t and x.
From the equation t = (230000)/(322x), we can see that as x increases, t decreases. This means that as B becomes more efficient, the time taken by A and B working together will decrease.
Conclusion:
Therefore, based on the given information, we can conclude that the time taken by A and B working together to complete the job will be less than 23 days. Option B
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?a)11 daysb)13 daysc)15 daysd)noneCorrect answer is option 'B'. Can you explain this answer?
Question Description
A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?a)11 daysb)13 daysc)15 daysd)noneCorrect 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 is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?a)11 daysb)13 daysc)15 daysd)noneCorrect 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 is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?a)11 daysb)13 daysc)15 daysd)noneCorrect answer is option 'B'. Can you explain this answer?.
A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?a)11 daysb)13 daysc)15 daysd)noneCorrect 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 is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?a)11 daysb)13 daysc)15 daysd)noneCorrect 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 is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?a)11 daysb)13 daysc)15 daysd)noneCorrect answer is option 'B'. Can you explain this answer?.
Solutions for A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?a)11 daysb)13 daysc)15 daysd)noneCorrect 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 is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?a)11 daysb)13 daysc)15 daysd)noneCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?a)11 daysb)13 daysc)15 daysd)noneCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?a)11 daysb)13 daysc)15 daysd)noneCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?a)11 daysb)13 daysc)15 daysd)noneCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?a)11 daysb)13 daysc)15 daysd)noneCorrect 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