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X alone can complete a piece of work in 40 days. He worked for 8 days and left. Y alone completed the remaining work in 16 days. How long would X and Y together take to complete the work ?
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13 1 days 3 - 14 days
- 15 days
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16 2 days 3
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Correct Option: A
Part of the work done by X in 8 days
| = | = | |||
| 40 | 5 |
| ∵ work done in 1 day = | 40 |
| ∴ Remaining work = 1 - | = | |||
| 5 | 5 |
This part of work is done by Y in 16 days.
∴ Time taken by Y in doing 1 work
| = | = 20 days. | 4 |
∴ Work done by X and Y in 1 day
| = | + | = | = | |||||
| 40 | 20 | 40 | 40 |