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A tank has two inlet pipes, A and B, whi...

A tank has two inlet pipes, A and B, which can fill the tank in 12 hours and 18 hours respectively, and an outlet C which can empty the tank in 9 hours. A,B and C are all opened at a time but the outlet C is blocked completely after 6 hours. Find the total time taken right from the start to fill the tank.

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