A and B can do a piece of work in 18 days, B and C in 24 days, A and C in 36 days. In what time can they do it all working together?

12 days
13 days
16 days
26 days

Correct Answer: 16 days

Explanation:

(A + B)'s 1 day's work = 1/18
(B + C)'s 1 day's work = 1/24
(A + C)'s 1 day's work = 1/36
Adding 2 (A + B + C)'s 1 day's work = (1/18 + 1/24 + 1/36) = 1/8
∴ (A + B + C)'s day's work = 1/16
Hence, all working together can finish it in 16 days.

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