A large rectangular tank has a base that is 2 meters wide and 3 meters long. Initially it contains 24 m3 of red paint. Starting at t = 0 blue paint enters at a rate of 6t m3 per hour,
and red paint enters at a rate of 6 m3 per hour.
(a) How many hours until the tank contains equal amounts of red and blue paint ?
(b) How quickly (in m/hr) is the depth of paint in the tank rising after t hours ?
(c) What is the average volume (in m3)
of paint in the tank during the first two hours