A tank initially contains 60 gallons of pure water. Brine containing 1 lb of salt per gallon enters the tank at 2 gal/min, and the perfectly mixed solution leaves the tank at 3 gal/min; thus the tank is empty after exactly 1 h.  (a) Find the amount of salt in the tank after 20 minutes.  (b) What is the maximum amount of salt ever in the tank?

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