Question

To reach a sales meeting, Carrie traveled by plane for 2 hours and by car for an additional 2 hours. The plane travels 54 mph faster than the car. If the total distance traveled is 308 miles, what are the speeds of the plane and the car? (Assume that the plane and the car travel at constant rates.)

Answer 1

104 mph, 50 mph

Step-by-step explanation:

`v_1` = Speed of car

Distance = Speed × Time

Distance traveled in car

`s_1=2v_1`

Distance traveled in plane

`s_2=2(54+v_1)`

From the question

`s_1+s_2=308\\\Rightarrow 2v_1+2(54+v_1)=308\\\Rightarrow v_1+54+v_1=154\\\Rightarrow 2v_1=100\\\Rightarrow v_1=50\ mph`

The speed of the car is 50 mph

The speed of the plane is 50+54 = 104 mph