After t hours on the job, one factory worker is producing Q'1(t) = 60 - 2(t - 1)^2 units per hour, while a second worker is producing Q'2(t) = 50 - 5t units per hour.
a) If both arrive on the job at 8:00 AM how many more units will the first worker have produced by noon than the second worker?
b) Interpret the answer in part (a) as the area between two curves.