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John does 1/2 piece of work in 3 hours, Joe does 1/4 of the remaining work in 1 hour and George finishes remaining work in 5 hours. How long would it have taken the three working together to do the work ?
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2 1 hours 7 -
3 1 hours 7 -
3 8 hours 11 -
2 8 hours 11
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Correct Option: D
According to the question
| John does | work in 3 hours. | 2 |
∴ Time taken by John in doing whole work = 6 hours
| Joe does | work in 1 hour. | 8 |
∴ Time taken by Joe in doing whole work = 8 hours
| Remaining work = | - | |||
| 2 | 8 |
| = | = | parts | ||
| 8 | 8 |
∴ Time taken by George
| = | = | hours | ||
| 3 | 3 |
Work done by all three in 1 hour
| = | + | + | ||||
| 6 | 8 | 40 |
| = | = | |||
| 120 | 120 |
| = | 30 |
| ∴ Required time = | = 2 | hours | ||
| 11 | 11 |
