Three pipes A, B and C are connected to a tank. these pipes can fill the tank separately in 5 hour to 10 hour and 15 hour respectively. When all the three pipes were opened simultaneously, it was observed that pipes A and B were supplying water at (3/4) of their normal rates for the first hour after which they supplied water at normal rate. Pipe C supplied water at (2/3) of its normal rate for first 2 hours, after which it supplied at its normal rate. In how much time in hours, tank would be filled?

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