A mixing tank contains initially of 40 gallons of sugar solution with a concentration of 3 lb of sugar for every gallon of water. Then a sugar water with a concentration of 4 lb of sugar per gallon is poured into the tank at a rate of 2 gallons per minute As the sugar water is poured, the tank is drained at the bottom so that the volume o the sugar solution in the tank remains constant. Determine how many pounds of sugar is in the tank after 15 minutes. Also, determine how long it will take for an amount 150 lb sugar will be inside the tank.

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