At time t0 a tank contains 30 oz of salt dissolved in 60 gal

At time t=0, a tank contains 30 oz of salt dissolved in 60 gal of water. Then brine containing 5 oz of salt per gallon of brine is allowed to enter the tank at a rate of 3 gal/min and the mixed solution is drained from the tank at the same rate. How much salt is in the tank at an arbitrary time t?

Solution

In the beginning, the tank contains 30 oz of salt. After each minute, 3*5 = 15 oz salt is added. Hence, salt in tank after \'t\' minutes = 30 + 15*t oz
At time t=0, a tank contains 30 oz of salt dissolved in 60 gal of water. Then brine containing 5 oz of salt per gallon of brine is allowed to enter the tank at

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