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20 men can do a piece of work in 18 days, They worked together for 3 days, then 5 men joined them. In how many more days is the work completed ?
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- 15
- 12
- 14
- 13
Correct Option: B
Work done by 20 men in 3 days
| = | = | part | ||
| 18 | 6 |
Remaining work
| = 1 – | = | part | ||
| 6 | 6 |
| ∴ | = | |||
| W1 | W2 |
| ∴ | = | |||
| 1 | 5/6 |
⇒ 6 × 25 × D2 = 5 × 20 × 18
| ⇒ D2 = | = 12 days | 6 × 25 |
Aliter : Using Rule 10,
Here, A = 20, a = 18 b = 3. B = 5
Required number of days
| = | = | |||
| A + B | 20 + 5 |
| = | = 12 days | 25 |