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A, B and C together can complete a piece of work in 30 minutes. A and B together can complete the same work in 50 minutes. C alone can complete the work in
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- 60 minutes
- 75 minutes
- 80 minutes
- 150 minutes
Correct Option: B
| Work done by (A + B + C) in 1 minute = | ||
| 30 |
| Work done by (A + B) in 1 minute = | ||
| 50 |
| ∴ Work done by C alone in 1 minute = | - | 30 | 50 |
| Work done by C alone in 1 minute = | ||
| 150 |
| Work done by C alone in 1 minute = | = | 150 | 75 |
∴ C alone will complete the work in 75 minutes.
Second method to solve this question ,
Here , x = 50 , y = 30
| C alone can do in = | ||
| x - y |
| C alone can do in = | = 75 minutes | |
| 50 - 30 |