A rabbit runs in a straight line with a velocity of +1.6 m/s for a period of time, rests for 9 s, and then runs again along the same line at +0.55 m/s for an unknown amount of time. The rabbit travels a total distance of 1116 m, and its average speed is 0.79 m/s.
(a) What is the total time the rabbit spends running at 1.6 m/s?
(b) How long does it spend running at 0.55 m/s?