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A, B and C can do a work separately in 16, 32 and 48 days respectively. They started the work together but B left off 8 days and C six days before the completion of the work. In what time is the work finished?
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- 10 days
- 9 days
- 12 days
- 14 days
Correct Option: C
Let the work be completed in x days.
According to the question,
| + | + | = 1 | ||||
| 16 | 32 | 48 |
| ⇒ | = 1 | 96 |
⇒ 11x – 36 = 96
⇒ 11x = 96 + 36 = 132
| ⇒ x = | = 12 days | 11 |
