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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 |