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? 200r 2 (200 + r) 10r

Question

Mathematics

Leanna Mahoney

27 March, 01:12

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? 200r 2 (200 + r) 10r

+2

Answers (1)

Know the Answer?

Nakita · Answer 1

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.