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A and B alone can complete work in 9 days and18 days respectively. They worked together; however 3 days before the completion of the work A left. In how many days was the work completed ?
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- 13 days
- 8 days
- 6 days
- 5 days
Correct Option: B
Let the work be completed in x days.
According to the question,
A worked for (x –3) days, while B worked for x days.
| ∴ | + | = 1 | ||
| 9 | 18 |
| ⇒ | = 1 ⇒ 3x - 6 = 18 | |
| 18 |
⇒ 3x = 18 + 6 = 24
| ∵ x = | = 8 days | |
| 3 |
Aliter :
Using Rule 8,
Here, x = 9, y = 18, m = 3
| Total time taken = | |
| x + y |
| = | ||
| 9 + 18 |
| = | = 8 days | |
| 27 |
