In: Advanced Math
A tank initially contains 80gal of pure water. Brine containing 2lb of salt per gallon enters the tank at 2gal/min, and the (perfectly mixed) solution leaves the tank at 3 gal/min. Thus the tank is empty after exactly 80 min.
(A) Find the amount of salt in the tank after t minutes.
(b) What is the maximum amount of salt ever in the tank?