A police car is chasing a speeding car on a right-angled intersection such that the former is approaching to the intersection, while the latter is moving away from it. At the point where the police car is at 80 mph and it is 44 yards from the intersection, the police radar detected that the distance between them is increasing at 45 mph, while the other car is 117 yards away from the intersection. What is the rate of the speeding car?
