A 200-gallon tank is half full of distilled water. At time t = 0, a solution containing 0.5 pound of concentrate per gallon enters the tank at the rate of 5 gallons per minute, and the well-stirred mixture is withdrawn at the rate of 3 gallons per minute. At what time will the tank be full?

Expert Answers

An illustration of the letter 'A' in a speech bubbles

Total volume of the tank=200 gallon

Given that, tank is half full,

so remaining volume of the tank to be filled=200-100=100 gallon.

Since 5 gallons of solution comes into the tank per minute and 3 gallons of solution goes out each minute,

Net flow of solution in the tank=5-3= 2 gallons per minute.

Time required=`100/2=50` ` `

So, the time required for the tank be full = 50 minutes 

See eNotes Ad-Free

Start your 48-hour free trial to get access to more than 30,000 additional guides and more than 350,000 Homework Help questions answered by our experts.

Get 48 Hours Free Access
Approved by eNotes Editorial