Tank A initially contains 100 gallons of pollutant and no water. Pure water flows from a source to Tank A at a rate of 5 gal/min. A well-mixed solution flows out of Tank A and into Tank B at a rate of 5 gal/min. A well-mixed solution flows out of Tank B at a rate of 5 gal/min.
A.) Find the amount of pollutant in Tank A as a function of time, x(t)
B.) Tank B initially contains 200 gallons of pure water. Find the amount of pollutant in Tank B as a function of time, x(t).