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A and B together can do a piece of work in 36 days, B and C together can do it in 24 days. A and C together can do it in 18 days. The three working together can finish the work in
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- 8 days
- 16 days
- 30 days
- 32 days
Correct Option: B
(A + B)’s 1 day’s work = | 36 |
(B + C)’s 1 day’s work = | 24 |
(A + C)’s 1 day’s work = | 18 |
On adding all three,
2 (A + B + C)’s 1 day’s work
= | + | + | ||||
36 | 24 | 18 |
= | 72 |
= | = | |||
72 | 8 |
∴ (A + B + C)’s 1 day’s work
= | 16 |
∴ Required time = 16 days