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A man, a woman and a boy together finish a piece of work in 6 days. If a man and a woman can do the work in 10 and 24 days respectively. The days taken by a boy to finish the work is
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- 30
- 35
- 40
- 45
Correct Option: C
Time taken by boy = x days
| ∴ | + | + | = | ||||
| 10 | 24 | x | 6 |
| ⇒ | = | - | - | ||||
| x | 6 | 10 | 24 |
| = | = | = | ⇒ x = 40 days | |||
| 120 | 120 | 40 |
Aliter : Using Rule 18,
Here , x = 6, y = 10, z = 24
| Number of days = | days | |
| yz - x(y + z) |
| = | = | = | = 40 days | |||
| 10 × 24 - 6(10 + 24) | 240 - 204 | 36 |
