A and B together can complete a piece of work in 72 days, B and C together can complete it in 120 days, and A and C together in 90 days. In what time can A alone complete the work?
A and B together can complete a piece of work in 72 days, B and C together can complete it in 120 days, and A and C together in 90 days. In what time can A alone complete the work?
[A]150 days
[B]80 days
[C]100 days
[D]120 dyas
120 days
(A+B)’s 1 day’s work =
(B+C)’s 1 day’s work =
(C+A)’s 1 day’s work =
Adding all three, 2(A+B+C)’s 1 days work =
∴ (A+B+C)’s 1 day’s work =
Now, A’s 1 day’s work = (A+B+C)’s 1 day’s work – (B+C)’s 1 day’s work
∴ A alone can comlete the work in 120 days.
Hence option [D] is correct.
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