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A and B together can complete a work in 24 days. B alone does 1/3 rd part of this work in 12 days. How many days will A alone take to complete the remaining work?
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- 24 days
- 36 days
- 48 days
- 72 days
Correct Option: C
| ∵ B completes | work in 12 days. | 3 |
∴ B will complete 1 work in 12 × 3 = 36 days.
| ∴ B’s 1 day’s work = | 36 |
| (A + B)’s 1 day’s work = | 24 |
| ∴ A’s 1 day’s work = | - | |||
| 24 | 36 |
| = | = | |||
| 72 | 72 |
∴ Time taken by A in doing 1 work = 72 days
| Remaining work = 1 – | = | |||
| 3 | 3 |
∴ Time taken by A in doing
| work = | × 72 = 48 days | |||
| 3 | 3 |
