Mathematics · Time and Work
Pipes A, B, and C are kept open and together fill a tank in t minutes. Pipe A is kept open throughout, pipe B is kept open for the first 10 minutes and then closed. Two minutes after pipe B is closed, pipe C is opened and kept open till the tank is full. Each pipe fills an equal share of the tank. Furthermore, if pipes A and B are kept open continuously, the tank would be filled completely in t minutes. How long (in minutes) will C alone take to fill the tank?
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