A tank contains 100 gal of brine in which 50 lb of salt is dissolved. Brine containing 2 lb/gal of salt runs into the tank at the rate of 3 gal/min; and the mixture, assumed to be kept uniform by stirring, runs out at the rate of 2 gal/min. Assuming that the tank is sufficiently large to avoid overflow, find the amount of salt in the tank as a function of the time t. When will the con- centration of salt in the tank reach lb/gal? How much salt is in the tank at the end of 30 min?

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