If A and B together can complete a work in 18 days, A and C together in 12 days and B and C together in 9 days, then in how many days B alone can do the work?
If A and B together can complete a work in 18 days, A and C together in 12 days and B and C together in 9 days, then in how many days B alone can do the work?
[A]18 days
[B]24 days
[C]30 days
[D]40 days
24 days
(A + B)’s 1 day’s work
(B + C)’s 1 day’s work
(C + A)’s 1 day’s work
On adding all above equations, we get
2 (A +B + C)’s 1 day’s work
∴ (A + B + C)’s 1 day’s work
Now, B’s 1 day’s work = (A + B + C)’s 1 day’s work – (A + C)’s 1 day’s work
Hence B alone can do the work in 24 days. So option [B] is correct answer.
