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A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in :
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- 4 days
- 6 days
- 8 days
- 12 days
Correct Option: C
(A + B)’s 1 day’s work
| = | .......(i) | 8 |
(B + C)’s 1 day’s work
| = | .......(ii) | 12 |
(A + B + C)’s 1 day’s work
| = | .......(iii) | 6 |
By equations (i) + (ii) – (iii),
B’s 1 day’s work
| ⇒ | + | - | ||||
| 8 | 12 | 6 |
| = | = | .........(iv) | ||
| 24 | 24 |
By equations (iii) – (iv),
(A + C)’s 1 day’s work
| = | - | |||
| 6 | 24 |
| = | = | = | ||||
| 24 | 24 | 8 |
∴ Required time = 8 days
