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A, B and C individually can do a work in 10 days, 12 days and 15 days respectively. If they start working together, then the number of days required to finish the work is
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- 16 days
- 8 days
- 4 days
- 2 days
Correct Option: C
| Work done by A, B and C in 1 day = | + | + | 10 | 12 | 15 |
| Work done by A, B and C in 1 day = | ||
| 60 |
| Work done by A, B and C in 1 day = | = | 60 | 4 |
∴ Required time = 4 days
Second method to solve this question ,
Here , x = 10 , y = 12 , z = 15
| Time Taken = | ||
| xy + yz + zx |
| Time Taken = | ||
| 10 × 12 + 12 × 15 + 15 × 10 |
| Time Taken = | ||
| 120 + 180 + 150 |
| Time Taken = | = 4 days | |
| 450 |
