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If A alone can do a work in 12 days and B alone can do it in 8 days, Working together, in how many days will they complete it?
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4 4 days 5 - 4 days
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3 4 days 5 - 6 days
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Correct Option: A
| A’s one day’s work = | 12 |
| B’s one day’s work = | 8 |
(A + B)’s one day’s work
| = | + | = | = | |||||
| 12 | 8 | 24 | 24 |
| Now, | work is done in1day | 24 |
| ∴ 1 work is done in = | days | 5 |
| = 4 | days | 5 |
Aliter : Using Rule 2,
Here, x = 12, y = 8
Required time taken
| = | x + y |
| = | = | |||
| 12 + 8 | 5 |
| = 4 | days | 5 |