To reach a sales meeting, Carrie traveled by plane for 1 hour and by car for an additional 2 hours. The plane travels 82 mph faster than the car. If the total distance traveled is 217 miles, what are the Speeds of the plane and the car? (Assume that the plane and the car travel at constant rates.)
A) plane: 132 mph; car: 40 mph
B) plane: 122 mph; car: 50 mph
C) plane: 117 mph; car: 35 mph
D) plane: 127 mph; car: 45 mph

Question

Quizplus · Accepted Answer

Let the speed of the car be x mph. Then, the speed of the plane is x + 82 mph. The total distance is given by the sum of the distances traveled by plane and car: (x + 82) * 1 + x * 2 = 217. Solving this equation gives x = 45 mph for the car and x + 82 = 127 mph for the plane.

To Reach a Sales Meeting, Carrie Traveled by Plane for 1