A and B together can complete a piece of work in 18 days, B and C in 24 days and A and C in 36 days. In how many days, will all of them together complete the work?
A and B together can complete a piece of work in 18 days, B and C in 24 days and A and C in 36 days. In how many days, will all of them together complete the work?
[A]10 days
[B]12 days
[C]15 days
[D]16 days
16 days
(A + B)’s 1 day’s work
(B + C)’s 1 day’s work
(C + A)’s 1 day’s work
On adding,
2(A + B + C)’s 1 day’s work
∴ (A + B + C)’s 1 day’s work
∴ A, B and C together will complete the work in 16 days.
Hence option [D] is correct answer.
