Three taps A,B and C can fill a tank in 20,30 and 40 minutes respectively. All the taps are opened simultaneously and after 5 minutes tap A was closed and then after 6 minutes tap B was closed. At that moment a leak developed which could alone empty the full tank in 70 minutes. What is the total time (minutes) taken now for the completely full tank?

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Three taps A,B and C can fill a tank in 20,30 and 40 minutes respectively. All the taps are opened simultaneously and after 5 minutes tap A was closed and then after 6 minutes tap B was closed. At that moment a leak developed which could alone empty the full tank in 70 minutes. What is the total time (minutes) taken now for the completely full tank?