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A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together, they will complete the same work in
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1 days 4 -
7 day 24 -
3 3 days 7 - 4 days
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Correct Option: C
| A’s 1 day’s work = | 24 |
| B’s 1 day’s work = | 6 |
| C’s 1 day’s work = | 12 |
| (A + B + C)’s 1 day’s work = | + | + | 24 | 6 | 12 |
| (A + B + C)’s 1 day’s work = | = | 24 | 24 |
| ∴ The work will be completed by them in | i.e., 3 | days | 7 | 7 |
Second method to solve this question ,
Here , x = 24 , y = 6 , z = 12
| Time taken = | 24 × 6 + 6 × 12 + 24 × 12 |
| Time taken = | 144 + 72 + 288 |
| Time taken = | = | 504 | 7 |
| Time taken = 3 | days | 7 |
