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If A and B work together can complete a work in 8/5 days. A started the work alone and completed. 50% of the work and left the work then B started the work alone and finished the rest of work. They took total 5 days to complete the work. Then in how many days B can complete the work if A is more efficient than A?
  • a)
    1 Day
  • b)
    2 Days
  • c)
    3 Days
  • d)
    4 Days
  • e)
    None
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If A and B work together can complete a work in 8/5 days. A started th...
1/A+1/B = 5/8

x/A+y/B = 1

x+y = 5

y = 4
This question is part of UPSC exam. View all Quant courses
Most Upvoted Answer
If A and B work together can complete a work in 8/5 days. A started th...
Given:
A and B together can complete a work in 8/5 days.
A completed 50% of the work alone and left the work.
B completed the remaining work in 5 days.

To find:
In how many days B can complete the work alone if A is more efficient than B?

Solution:
Let's assume that A is more efficient than B, so A's work capacity is more than B's work capacity.
Let's assume that the total work is 10 units to make calculations easier.

Step 1: Calculate A and B's work capacity
Let A's work capacity be x units per day.
Then B's work capacity will be (8/5 - x) units per day (as A and B together can complete the work in 8/5 days).

Step 2: Calculate the work done by A
A completed 50% of the work alone, which is 5 units (as the total work is assumed to be 10 units).

Step 3: Calculate the work done by B
B completed the remaining 5 units of work in 5 days.
So, B's work capacity is 1 unit per day (as B completed 5 units of work in 5 days).

Step 4: Calculate A's work capacity
We know that A completed 5 units of work in a certain number of days.
Let A's work capacity be x units per day.
So, the number of days A took to complete 5 units of work will be 5/x.
We also know that A completed 50% of the work alone, which is 5 units.
So, the total work is 10 units.
Therefore, A completed 5 units in 5/x days and B completed 5 units in 5 days.
So, the total time taken to complete 10 units of work will be:
5/x + 5 = 8/5
Solving the above equation, we get:
x = 4 units per day

Step 5: Calculate B's work capacity
We know that A's work capacity is x units per day and B and A together can complete the work in 8/5 days.
So, B's work capacity will be (8/5 - x) units per day.
Substituting x = 4, we get:
B's work capacity = (8/5 - 4) = 0.4 units per day.

Step 6: Calculate the time taken by B to complete the work alone
We know that B's work capacity is 0.4 units per day and the total work is 10 units.
So, B will take 25 days to complete the work alone.

Therefore, the correct option is (d) 4 days.
Community Answer
If A and B work together can complete a work in 8/5 days. A started th...
D) 4 Days
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If A and B work together can complete a work in 8/5 days. A started the work alone and completed. 50% of the work and left the work then B started the work alone and finished the rest of work. They took total 5 days to complete the work. Then in how many days B can complete the work if A is more efficient than A?a)1 Dayb)2 Daysc)3 Daysd)4 Dayse)NoneCorrect answer is option 'D'. Can you explain this answer?
Question Description
If A and B work together can complete a work in 8/5 days. A started the work alone and completed. 50% of the work and left the work then B started the work alone and finished the rest of work. They took total 5 days to complete the work. Then in how many days B can complete the work if A is more efficient than A?a)1 Dayb)2 Daysc)3 Daysd)4 Dayse)NoneCorrect answer is option 'D'. 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 work together can complete a work in 8/5 days. A started the work alone and completed. 50% of the work and left the work then B started the work alone and finished the rest of work. They took total 5 days to complete the work. Then in how many days B can complete the work if A is more efficient than A?a)1 Dayb)2 Daysc)3 Daysd)4 Dayse)NoneCorrect answer is option 'D'. 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 work together can complete a work in 8/5 days. A started the work alone and completed. 50% of the work and left the work then B started the work alone and finished the rest of work. They took total 5 days to complete the work. Then in how many days B can complete the work if A is more efficient than A?a)1 Dayb)2 Daysc)3 Daysd)4 Dayse)NoneCorrect answer is option 'D'. Can you explain this answer?.
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