Discussion :: Time and Work
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A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?
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Answer : Option C
Explanation :
| A's 1 hour's work = | 1 | ; |
| 4 |
| (B + C)'s 1 hour's work = | 1 | ; |
| 3 |
| (A + C)'s 1 hour's work = | 1 | . |
| 2 |
| (A + B + C)'s 1 hour's work = |  | 1 | + | 1 |  | = | 7 | . |
| 4 | 3 | 12 |
| B's 1 hour's work = | | 7 | - | 1 | | = | 1 | . |
| 12 | 2 | 12 |
B alone will take 12 hours to do the work.
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