Question:
A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in:
[A].5 days
6 days
10 days
A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in:
[A].
[B].
[C].
[D].
| 10 | 1 | days |
| 2 |
Answer: Option C
Explanation:
| (B + C)’s 1 day’s work = | 1 | + | 1 | = | 7 | . | ||
| 9 | 12 | 36 |
| Work done by B and C in 3 days = | 7 | x 3 | = | 7 | . | ||
| 36 | 12 |
| Remaining work = | 1 – | 7 | = | 5 | . | ||
| 12 | 12 |
| Now, | 1 | work is done by A in 1 day. |
| 24 |
| So, | 5 | work is done by A in | 24 x | 5 | = 10 days. | ||
| 12 | 12 |