find the average rate

Question

Suppose that a cyclist began a 352 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 5.5
hr and the car traveled 35.2 mph faster than the bicycle, find the average rate of each.

Answer 1

d_bike = r(5.5)

d_car = (r + 35.2)(5.5)

d_bike + d_car = 352

r(5.5) + (r + 32.3)(5.5) = 352

 

Can you solve for r and answer?