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A, B and C can complete a work in 10, 12 and 15 days respectively. They started the work together. But A left the work before 5 days of its completion. B also left the work 2 days after A left. In how many days was the work completed?
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- 4 days
- 5 days
- 7 days
- 8 days
Correct Option: C
Let the work be completed in x days.
According to the question
| + | + | = 1 | ||||
| 10 | 12 | 15 |
| ⇒ | = 1 | 60 |
⇒ 15x – 45 = 60
| ⇒ 15x = 105 ⇒ x = | = 7 | 15 |
Hence, the work will be completed in 7 days.
