A 60-L tank contains 40L of alcohol mixture at 60% concentration. An additional alcohol mixture of 90% concentration is flowed into the tank at the rate of 2L/min. To prevent premature filling of the tank, its nozzle is opened to expel the mixture in the tank at the rate of 1L/min. a. What is the amount of alcohol in the tank (in L) at time t? b. At what point in time would there be 40L of pure alcohol in the tank mixture? c. What is the amount of alcohol in the tank (in L) at the time of overflow?

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