Suppose that a cyclist began a 364 mi ride across a state at the western edge of the​ state, at the same time that a car traveling toward it leaves the eastern end of the state. If the bicycle and car met after 6.5 hr and the car traveled 31.4 mph faster than the​ bicycle, find the average rate of each. The​ car's average rate is ___ mph. The​ bicycle's average rate is ___ mph. ​(Type an integer or a​ decimal.)