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A and B can complete a piece of work in 12 and 18 days respectively. A begins to do the work and they work alternatively one at a time for one day each. The whole work will be completed in
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14 1 days 3 -
15 2 days 3 -
16 1 days 3 -
18 2 days 3
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Correct Option: A
| A’s 1 day’s work = | 12 |
| B’s 1 day’s work = | 18 |
Part of work done by A and B in first two days
| = | + | = | = | |||||
| 12 | 18 | 36 | 36 |
Part of work done by A and B in 14 days
| = | 36 |
[14 days to be taken randomly]
| Remaining work = 1 - | = | |||
| 36 | 36 |
Now A will work for 15th day
| A will do the | work in | × 12 | ||
| 36 | 36 |
| = | day | 3 |
∴ Total Work will be done in
| 14 | day. | 3 |
