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A and B can do a piece of work in 45 and 40 days repectively. They began the work together but A left after some days and B finished the remaining work in 23 days. A left after
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- 6 days
- 9 days
- 12 days
- 5 days
Correct Option: B
Let A left the work after x days.
According to the question,
Work done by A in x days + work done by B in (23 + x ) days = 1
| ⇒ | + | = 1 | ||
| 45 | 40 |
| ⇒ | = 1 | 360 |
⇒ 17x + 207 = 360
⇒ 17x = 360 – 207 = 153
| ⇒ x = | = 9 days | 17 |
Aliter : Using Rule 26,
Here, x = 45, y = 40, a = 23
| A left after = | × x | x + y |
| = | × 45 | 45 + 40 |
| = | = 9 days | 85 |
