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Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in:

Question:
Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in:

[A].

1 13 hours
17

[B].

2 8 hours
11

[C].

3 9 hours
17

[D].

4 1 hours
2

Answer: Option C

Explanation:

Net part filled in 1 hour 1 + 1 1 = 17 .
5 6 12 60
The tank will be full in 60 hours i.e., 3 9 hours.
17 17