a and b together can do a piece of work in 12..., Time & Work, General Mathematics

Question:A and B together can do a piece of work in 12 days, which B and C together can do in 16 days. After A has been working at it for 5 days and B for 7 days, C finishes in 13 days. In how many days C alone will  do the work?

/47

+ AnswerB

+ Explanationsolution:
`(A + B)'s 5`days' work `+(B +C)`s 2 day's work `+ C's 11`day's work = 1.
`5/12 + 2/16 + C's 11` day's work = 1
`C's 11` day's work = `11/24`
`C's 1` day's work  `= (11/24 xx 1/11)`
                              `= 1/24`.
`:.`C alone can finish it in 24 days.

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Question:A and B together can do a piece of work in 12 days, which B and C together can do in 16 days. After A has been working at it for 5 days and B for 7 days, C finishes in 13 days. In how many days C alone will do the work?

A 16

B 24

C 36

D 48

B