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A man, a woman and a boy can together complete a piece of work in 3 days. If a man alone can do it in 6 days and a boy alone in 18 days, how long will a woman alone take to complete the work?
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- 9 days
- 21 days
- 24 days
- 27 days
Correct Option: A
Work done by 1 woman in 1 day
| = | - | - | ||||
| 3 | 6 | 18 |
| = | = | |||
| 18 | 9 |
∴ Woman will do the work in 9 days.
Aliter : Using Rule 18,
Here, x = 3, y = 6 and z = 18
∴ Required time
| = | days | yz - x(y + z) |
| = | 6 × 18 - 3(6 + 18) |
| = | 108 - 3 × 24 |
| = | = 9 | 36 |
