The tank has 100 gallons of pure water. The salt-water solution, that has 5% salt and 95% water, is pumped into tank at the rate of 3 gallons per minute. Simultaneously, the drain is opened at bottom of tank, permitting three gallons of perfectly mixed liquid to exit tank per minute.
i) Determine concentration of salt be (as percent) after ten minutes?
ii) How long will it take salt-water solution to reach the concentration of 3% salt?
iii) If process continues indefinitely, what concentration of salt solution approaches?