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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 fill the tank in 8 hours. The time (in hours) in which the tank can be filled by pipe C alone is
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- 10
- 12
- 8
- 9
- 10
Correct Option: B
On the basis of given details in question ,
| ∴ Part of the tank filled by (A + B + C) in 1 hour = | ||
| 6 |
| Part of tank filled by these in 2 hours = | = | ||
| 6 | 3 |
| Remaining part = 1 - | = | ||
| 3 | 3 |
| Time taken by A and B in filling | rd part = 8 hours | |
| 3 |
| ∴ Time taken by A and B in filling the whole tank = | = 12 hours | |
| 2 |
| ∴ Part of tank filled by C in an hour = | - | = | |||
| 6 | 12 | 12 |
Hence, required time = 12 hours
