Two pipes can fill a tank in 720 minutes and 1200 minutes respectively. There is also a leak pipe in the tank. When all three pipes are opened together, the empty tank gets filled in 480 minutes. How many minutes will the leak pipe alone take to empty the full tank?

Three taps A, B, and C can fill an empty tank in 30 minutes, 20 minutes, and 10 minutes respectively. When the tank is empty, all three taps are opened. Taps A, B, and C release chemical solutions P, Q, and R respectively. What is the proportion of solution R in the tank after 3 minutes?

Two inlet pipes J and T can fill a tank in 120 minutes and 144 minutes respectively. If an outlet pipe Z is opened along with them, all three pipes together fill the tank in 240 minutes. How long will pipe Z alone take to empty the full tank?