a and b can do a piece of work in 18 days..., Time & Work, General Mathematics

Question:A and B can do a piece of work in 18 days; B and C can do it in 24 days; A and C can do it in 36 days. In how many days can they do it all working together ?

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+ AnswerC

+ Explanationsolution:
`(A + B)`'s 1 day's work =`1/18`,
`(B + C)`'s 1 day's work =`1/24` and
`(A + C)`'s 1 day,s work =`1/36`.
`:. 2 (A + B + C)`'s 1 day's work =`(1/18 + 1/24 + 1/36)`
                                                    =`9/72`
                                                    =`1/8`
`:. (A + B + c)`'s 1 day's work =`1/16`.
Hence, all working together can do the work in 16 days.

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Question:A and B can do a piece of work in 18 days; B and C can do it in 24 days; A and C can do it in 36 days. In how many days can they do it all working together ?

A 12

B 13

C 16

D 26

C