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A and B can together do a piece of work in 28 days. If A, B and C can together finish the work in 14 days, how long will C take to do the work by himself?
  • a)
    7 days
  • b)
    21 days
  • c)
    28 days
  • d)
    35 days
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A and B can together do a piece of work in 28 days. If A, B and C can ...
If A and B can together do a piece of work in 28 days which means in 1 day, A and B will finish 1/28th of the work.

If A, B and C can together finish the work in 14 days which means in 1 day, A, B and C will finish 1/14th of the work.

Putting the first value in second
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Most Upvoted Answer
A and B can together do a piece of work in 28 days. If A, B and C can ...
Given:
A + B = 1/28 ----(1)
A + B + C = 1/14 ----(2)

To find:
Time taken by C to do the work alone

Solution:
Subtracting equation (1) from equation (2), we get
C = 1/14 - 1/28
C = 2/28
C = 1/14

Therefore, C can do the work alone in 14 days.

Answer: (c) 28 days.
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A and B can together do a piece of work in 28 days. If A, B and C can together finish the work in 14 days, how long will C take to do the work by himself?a)7 daysb)21 daysc)28 daysd)35 daysCorrect answer is option 'C'. Can you explain this answer?
Question Description
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