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A and B can do a work in 18 and 24 days respectively. They worked together for 8 days and then A left. The remaining work was finished by B in :
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- 5 days
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5 1 days 3 - 8 days
- 10 days
Correct Option: B
∵ A can finish the work in 18 days
∴ A’s one day’s' work
| = | 18 |
Similarly, B’s one day’s work
| = | 24 |
∴ (A + B)’s 8 days’ work
| = |  | + |  | × 8 | 18 | 24 |
| = | × 8 = | |||
| 72 | 9 |
| ∴ Remaining work = 1 - | = | |||
| 9 | 9 |
∴ Time taken to finish the remaining work by B is
| × 24 | 9 |
| × 24 | 9 |
Aliter : Using Rule 20,
Here, m = 18, n= 24 and p = 8
⇒ Required Time
| = | 18 |
| = | = | |||
| 18 | 18 |
| = | = 5 | days | ||
| 3 | 3 |
