A 200-Gallon Tank Is Full of a Solution Containing 25 $t = 0$

question 71

Multiple Choice

A 200-gallon tank is full of a solution containing 25 pounds of concentrate. Starting at time $t = 0$ , distilled water is added to the tank at a rate of 10 gallons per minute, and the well-stirred solution is withdrawn at the same rate. Find the time at which the amount of concentrate in the tank reaches 15 pounds. Round your answer to one decimal place.

• A) \(18.3 \mathrm {~min}\)
• B) \(3.6 \mathrm {~min}\)
• C) \(20.4 \mathrm {~min}\)
• D) \(10.2 \mathrm {~min}\)
• E) \(5.1 \mathrm {~min}\)