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Three pipes A, B and C can fill a tank in 6 hours. After working together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is
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- 10
- 12
- 14
- 16
- 10
Correct Option: C
A, B and C together fill the tank in 6 hours.
| ∴ Part of the tank filled in 1 hour by (A + B + C) = | ||
| 6 |
| ∴ Part of the tank filled in 2 hours by all three pipes = | = | ||
| 6 | 3 |
| Remaining empty part = 1 - | = | ||
| 3 | 3 |
This 2 /3 part is filled by (A + B).
| ∴ Time taken by (A + B) to fill the fully empty tank = | = | hours | ||
| 2 | 2 |
| ∴ Part of tank filled by C in 1 hour = | - | = | = | = | |||||
| 6 | 21 | 42 | 42 | 14 |
∴ Required time = 14 hours.
