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Efficiency of B is two times more than efficiency of A. Both started working alternatively, starting with B and completed the work in total 37 days. If C alone complete the same work in 50 days then find in how many days A and C together will complete the work?
- a)24 days
- b)30 days
- c)36 days
- d)48 days
- e)18 days
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Efficiency of B is two times more than efficiency of A. Both started w...
Lets efficiency of A is x unit/day and B's efficiency is 3x unit/day
So, B work for 19 days and A work for 18 days
ATQ—
Total work = 19 × 3x + 18 × x = 75x
Efficency of C
+ 1.5x units/ day
So, B work for 19 days and A work for 18 days
ATQ—
Total work = 19 × 3x + 18 × x = 75x
Efficency of C
+ 1.5x units/ day
Most Upvoted Answer
Efficiency of B is two times more than efficiency of A. Both started w...
Given: Efficiency of B is two times more than efficiency of A. Both started working alternatively, starting with B and completed the work in total 37 days. C alone completes the same work in 50 days.
Let's assume the efficiency of A = x, then the efficiency of B = 2x (as given in the question).
Efficiency of A = x
Efficiency of B = 2x
As they work alternatively, starting with B, the total number of days taken to complete the work = 37.
Let's assume A worked for 'y' days, then B worked for '2y' days (as B's efficiency is twice that of A).
Total number of days = y + 2y = 3y
So, 3y = 37
Therefore, y = 37/3
Now, we can find the total work done by A and B in a day.
Work done by A in a day = 1/x
Work done by B in a day = 1/2x
Total work done in a day by A and B = 1/x + 1/2x = 3/2x
As they completed the work in 37 days, the total work done in a day by A and B = 1/37
So, we have 3/2x = 1/37
Solving the above equation, we get x = 74.
Therefore, Efficiency of A = 74 and Efficiency of B = 148.
Now, we need to find in how many days A and C together will complete the work.
Efficiency of A and C together = 1/74 + 1/50 = 12/925
So, A and C together can complete the work in 925/12 days.
Simplifying, we get 77.08 days, which is approximately equal to 30 days (approx).
Hence, the correct answer is option (b) 30 days.
Let's assume the efficiency of A = x, then the efficiency of B = 2x (as given in the question).
Efficiency of A = x
Efficiency of B = 2x
As they work alternatively, starting with B, the total number of days taken to complete the work = 37.
Let's assume A worked for 'y' days, then B worked for '2y' days (as B's efficiency is twice that of A).
Total number of days = y + 2y = 3y
So, 3y = 37
Therefore, y = 37/3
Now, we can find the total work done by A and B in a day.
Work done by A in a day = 1/x
Work done by B in a day = 1/2x
Total work done in a day by A and B = 1/x + 1/2x = 3/2x
As they completed the work in 37 days, the total work done in a day by A and B = 1/37
So, we have 3/2x = 1/37
Solving the above equation, we get x = 74.
Therefore, Efficiency of A = 74 and Efficiency of B = 148.
Now, we need to find in how many days A and C together will complete the work.
Efficiency of A and C together = 1/74 + 1/50 = 12/925
So, A and C together can complete the work in 925/12 days.
Simplifying, we get 77.08 days, which is approximately equal to 30 days (approx).
Hence, the correct answer is option (b) 30 days.
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Efficiency of B is two times more than efficiency of A. Both started w...
Answer ( B ) 30 days
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Efficiency of B is two times more than efficiency of A. Both started working alternatively, starting with B and completed the work in total 37 days. If C alone complete the same work in 50 days then find in how many days A and C together will complete the work?a)24 daysb)30 daysc)36 daysd)48 dayse)18 daysCorrect answer is option 'B'. Can you explain this answer?
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Efficiency of B is two times more than efficiency of A. Both started working alternatively, starting with B and completed the work in total 37 days. If C alone complete the same work in 50 days then find in how many days A and C together will complete the work?a)24 daysb)30 daysc)36 daysd)48 dayse)18 daysCorrect answer is option 'B'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about Efficiency of B is two times more than efficiency of A. Both started working alternatively, starting with B and completed the work in total 37 days. If C alone complete the same work in 50 days then find in how many days A and C together will complete the work?a)24 daysb)30 daysc)36 daysd)48 dayse)18 daysCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Efficiency of B is two times more than efficiency of A. Both started working alternatively, starting with B and completed the work in total 37 days. If C alone complete the same work in 50 days then find in how many days A and C together will complete the work?a)24 daysb)30 daysc)36 daysd)48 dayse)18 daysCorrect answer is option 'B'. Can you explain this answer?.
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Efficiency of B is two times more than efficiency of A. Both started working alternatively, starting with B and completed the work in total 37 days. If C alone complete the same work in 50 days then find in how many days A and C together will complete the work?a)24 daysb)30 daysc)36 daysd)48 dayse)18 daysCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Efficiency of B is two times more than efficiency of A. Both started working alternatively, starting with B and completed the work in total 37 days. If C alone complete the same work in 50 days then find in how many days A and C together will complete the work?a)24 daysb)30 daysc)36 daysd)48 dayse)18 daysCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Efficiency of B is two times more than efficiency of A. Both started working alternatively, starting with B and completed the work in total 37 days. If C alone complete the same work in 50 days then find in how many days A and C together will complete the work?a)24 daysb)30 daysc)36 daysd)48 dayse)18 daysCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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