A and B can do a piece of work in 18 days B and C in 24 days A and C in 36 days Working together the...........

Quantitative Aptitude (CGL) Time and work

A and B can do a piece of work in 18 days, B and C in 24 days, A and C in 36 days. Working together they can do the work in

12 days

13 days

16 days

26 days

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Explanation:

(A + B)’s 1 day’s work = 1/18
(B + C)’s 1 day’s work = 1/24
(C + A)’s 1 day’s work = 1/36
On adding,
2(A + B + C)’s 1 day’s work = 1/18 + 1/24 + 1/36= (4+3+2)/72=1/8
∴ (A + B + C)’s 1 day’s work = 1/16
∴ A, B and C together will complete the work in 16 days.