The average speed of one airplane is 200 mph faster than that of an automobile. if the automobile starts at 3 a. m. and the airplane starts from the same place at 11 a. m., they will have traveled the same number of miles by 1: 00 p. m. if r represents the rate of the automobile, how many miles does the plane travel?
a. 200r
b. 2(200 + r)
c. 10r

Step-by-step explanation:

Let the speed of the car be "X". From 3 am until 1 pm (10 hours), the car will travel 10*X miles. 

The speed of the airplane is (X +200). From 11 am until 1 pm (2 hours), the plane will travel 2*(X+200). 

The distance travelled is the same, so: 

10*X = 2*(x+200)= 2x+400 

Subtract 2*X from both sides: 

8*X = 400

X = 400/8 = 50 mph.

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