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A can do a work in 6 days and B in 9 days. How many days will both take together to complete the work?
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- 7.5 days
- 5.4 days
- 3.6 days
- 3 days
Correct Option: C
According to question,
A can finish the whole work in 6 days.
| ∴ A’s one day’s work = | 6 |
Similarly,
| B’s one day’s work = | 9 |
| (A + B)’s one day’s work = |  | + |  | = | | | 6 | 9 | 18 |
| (A + B)’s one day’s work = | 18 |
| Therefore, (A + B)’s can finish the whole work in = | days i.e, 3.6 days. | 5 |
Second method to solve this question ,
Here , x = 6 , y = 9
| Time taken = | x+ y |
| Time taken = | = | = 3.6 days | 9 + 6 | 15 |
