Question #274071

A tank initially contains 50 gal of fresh water. At t = 0, brine solution containing 2 lb of salt per gallon is poured into the tank at the rate of 12 gal/min, while the well stirred mixture leaves the tank at the rate of 8 gal/min. What is the amount of the salt at the end of minutes? How long it will take to obtain an amount of 50 lb?

Expert's answer

"\\frac{ds}{dt}=24-\\frac{8s}{50+4t}\\\\t=2.47\\ min"

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