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40 men can complete a work in 18 days. Eight days after they started working together, 10 more men joined them. How many days will they now take to complete the remaining work ?
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- 6
- 8
- 10
- 12
Correct Option: B
40 men complete the work in 18 days.
| ∴ Their 1 day’s work = | 18 |
| ∴ Their 8 days’ work = | = | |||
| 18 | 9 |
| Remaining work = 1 – | = | |||
| 9 | 9 |
New number of men = 40 + 10 = 50
| ∴ | = | |||
| W1 | W2 |
| ⇒ | = | |||
| 1 | 5/9 |
⇒ 40 × 18 = 90 × D2
| ⇒ D2 = | = 8 days. | 90 |
Aliter : Using Rule 10,
Here, A = 40, a = 18
b = 8, B = 10
| Required Days = | (A + B) |
| = | (40 + 10) |
| = | = 8 days | 50 |
