Quant Exam > Quant Questions > A is twice efficient as B. A and B together d...
Start Learning for Free
A is twice efficient as B. A and B together do the same work in as much time as C and D can do together. If the ratio of the number of alone working days of C to D is 2:3 and if B worked 16 days more than C then no of days which A worked alone?
- a)18 Days
- b)20 Days
- c)30 Days
- d)36 Days
- e)Cannot be determined
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A is twice efficient as B. A and B together do the same work in as muc...
The ratio of efficiencies of A and B = 2 : 1
Then the ratio of the number of days taken by A and B will be 1 : 2 (∵ Time is inversely proportional to efficiency)
Let the working days for A, B, C, and D are,
A = x, B = 2x, C = 2y, D = 3y
Now, 1/x + 1/2x = 1/2y + 1/3y
⇒ 3/2x = 5/6y
⇒ 18y = 10x
⇒ x : y = 9 : 5
And 2x – 2y = 16
Now, solving both the equations, we get,
⇒ x = 18 days.
∴Number of days which A worked alone is 18 days.
Most Upvoted Answer
A is twice efficient as B. A and B together do the same work in as muc...
Given:
- A is twice efficient as B.
- A and B together do the same work in as much time as C and D can do together.
- The ratio of the number of alone working days of C to D is 2:3.
- B worked 16 days more than C.
To find:
- The number of days which A worked alone.
Solution:
Let's assume that B can do a work of 1 unit in x days. So, A can do a work of 2 units in x days.
Therefore, efficiency of A and B can be written as:
- A = 2/x
- B = 1/x
Now, A and B together can do a work of 3 units in the same time as C and D can do together. Let's assume that C can do a work of y units in 1 day, so D can do a work of (3y/2) units in 1 day.
Therefore, efficiency of C and D can be written as:
- C = y/1 = y
- D = (3y/2)/1 = (3y/2)
Now, let's assume that C worked for z days alone. So, D worked for (3z/2) days alone.
Given that the ratio of the number of alone working days of C to D is 2:3. So, we can write:
- z/(3z/2) = 2/3
Solving this equation, we get:
- z = 6
Therefore, C can do a work of 6y units alone in 6 days and D can do a work of 9y units alone in 9 days.
Also, given that B worked 16 days more than C. So, if C worked for z days alone, then B worked for (z+16) days alone.
Therefore, B can do a work of (z+16) units alone in (z+16) days, which is equal to the work done by A alone.
Now, we can equate the work done by A and B alone to get:
- 2/x * d = (z+16)/x
where d is the number of days A worked alone.
Solving this equation for d, we get:
- d = 18 days
Therefore, the number of days which A worked alone is 18 days. Hence, option (a) is the correct answer.
- A is twice efficient as B.
- A and B together do the same work in as much time as C and D can do together.
- The ratio of the number of alone working days of C to D is 2:3.
- B worked 16 days more than C.
To find:
- The number of days which A worked alone.
Solution:
Let's assume that B can do a work of 1 unit in x days. So, A can do a work of 2 units in x days.
Therefore, efficiency of A and B can be written as:
- A = 2/x
- B = 1/x
Now, A and B together can do a work of 3 units in the same time as C and D can do together. Let's assume that C can do a work of y units in 1 day, so D can do a work of (3y/2) units in 1 day.
Therefore, efficiency of C and D can be written as:
- C = y/1 = y
- D = (3y/2)/1 = (3y/2)
Now, let's assume that C worked for z days alone. So, D worked for (3z/2) days alone.
Given that the ratio of the number of alone working days of C to D is 2:3. So, we can write:
- z/(3z/2) = 2/3
Solving this equation, we get:
- z = 6
Therefore, C can do a work of 6y units alone in 6 days and D can do a work of 9y units alone in 9 days.
Also, given that B worked 16 days more than C. So, if C worked for z days alone, then B worked for (z+16) days alone.
Therefore, B can do a work of (z+16) units alone in (z+16) days, which is equal to the work done by A alone.
Now, we can equate the work done by A and B alone to get:
- 2/x * d = (z+16)/x
where d is the number of days A worked alone.
Solving this equation for d, we get:
- d = 18 days
Therefore, the number of days which A worked alone is 18 days. Hence, option (a) is the correct answer.
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
A is twice efficient as B. A and B together do the same work in as much time as C and D can do together. If the ratio of the number of alone working days of C to D is 2:3 and if B worked 16 days more than C then no of days which A worked alone?a)18 Daysb)20 Daysc)30 Daysd)36 Dayse)Cannot be determinedCorrect answer is option 'A'. Can you explain this answer?
Question Description
A is twice efficient as B. A and B together do the same work in as much time as C and D can do together. If the ratio of the number of alone working days of C to D is 2:3 and if B worked 16 days more than C then no of days which A worked alone?a)18 Daysb)20 Daysc)30 Daysd)36 Dayse)Cannot be determinedCorrect 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 A is twice efficient as B. A and B together do the same work in as much time as C and D can do together. If the ratio of the number of alone working days of C to D is 2:3 and if B worked 16 days more than C then no of days which A worked alone?a)18 Daysb)20 Daysc)30 Daysd)36 Dayse)Cannot be determinedCorrect 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 A is twice efficient as B. A and B together do the same work in as much time as C and D can do together. If the ratio of the number of alone working days of C to D is 2:3 and if B worked 16 days more than C then no of days which A worked alone?a)18 Daysb)20 Daysc)30 Daysd)36 Dayse)Cannot be determinedCorrect answer is option 'A'. Can you explain this answer?.
A is twice efficient as B. A and B together do the same work in as much time as C and D can do together. If the ratio of the number of alone working days of C to D is 2:3 and if B worked 16 days more than C then no of days which A worked alone?a)18 Daysb)20 Daysc)30 Daysd)36 Dayse)Cannot be determinedCorrect 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 A is twice efficient as B. A and B together do the same work in as much time as C and D can do together. If the ratio of the number of alone working days of C to D is 2:3 and if B worked 16 days more than C then no of days which A worked alone?a)18 Daysb)20 Daysc)30 Daysd)36 Dayse)Cannot be determinedCorrect 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 A is twice efficient as B. A and B together do the same work in as much time as C and D can do together. If the ratio of the number of alone working days of C to D is 2:3 and if B worked 16 days more than C then no of days which A worked alone?a)18 Daysb)20 Daysc)30 Daysd)36 Dayse)Cannot be determinedCorrect answer is option 'A'. Can you explain this answer?.
Solutions for A is twice efficient as B. A and B together do the same work in as much time as C and D can do together. If the ratio of the number of alone working days of C to D is 2:3 and if B worked 16 days more than C then no of days which A worked alone?a)18 Daysb)20 Daysc)30 Daysd)36 Dayse)Cannot be determinedCorrect 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 A is twice efficient as B. A and B together do the same work in as much time as C and D can do together. If the ratio of the number of alone working days of C to D is 2:3 and if B worked 16 days more than C then no of days which A worked alone?a)18 Daysb)20 Daysc)30 Daysd)36 Dayse)Cannot be determinedCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A is twice efficient as B. A and B together do the same work in as much time as C and D can do together. If the ratio of the number of alone working days of C to D is 2:3 and if B worked 16 days more than C then no of days which A worked alone?a)18 Daysb)20 Daysc)30 Daysd)36 Dayse)Cannot be determinedCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for A is twice efficient as B. A and B together do the same work in as much time as C and D can do together. If the ratio of the number of alone working days of C to D is 2:3 and if B worked 16 days more than C then no of days which A worked alone?a)18 Daysb)20 Daysc)30 Daysd)36 Dayse)Cannot be determinedCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of A is twice efficient as B. A and B together do the same work in as much time as C and D can do together. If the ratio of the number of alone working days of C to D is 2:3 and if B worked 16 days more than C then no of days which A worked alone?a)18 Daysb)20 Daysc)30 Daysd)36 Dayse)Cannot be determinedCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A is twice efficient as B. A and B together do the same work in as much time as C and D can do together. If the ratio of the number of alone working days of C to D is 2:3 and if B worked 16 days more than C then no of days which A worked alone?a)18 Daysb)20 Daysc)30 Daysd)36 Dayse)Cannot be determinedCorrect 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