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A can do a piece of work in 4 hours; B and C can do it in 3 hours. A and C can do it in 2 hours. How long will B alone take to do it ?
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- 10 hours
- 12 hours
- 8 hours
- 24 hours
Correct Option: B
| A’s 1 hour’s work = | 4 |
| (B + C)’s 1 hour’s work = | 3 |
| (A + C)’s 1 hour’s work = | 2 |
| ∴ C’s 1 hour’s work = | - | 2 | 4 |
| C’s 1 hour’s work = | = | 4 | 4 |
| and B’s 1 hour’s work = | - | 3 | 4 |
| B’s 1 hour’s work = | = | 12 | 12 |
Hence, B alone can do the work in 12 hours.
