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

Answer:Distance = 500 milesStep-by-step explanation:Step 1: Write the data of speed, distance and time for aeroplane and automobile.Automobile:Speed = rTime = 10 hours (3 am till 1 pm)Distance = SxTDistance = r x 10 = 10rAeroplane:Speed = 200 + r (200 mph more than automobile)Time = 2 hours ( 11 am till 1 pm)Distance = SxTDistance = 2x(200+r) = 400+2rStep 2: Equate both distances to find the value of rDistance of automobile = Distance of aeroplane10r = 400 + 2r8r = 400r = 50Step 3: Find the distance using any one equationDistance of automobile = 10rr = 50Distance = 10 x 50 = 500 milesTherefore, the plane travels 500 miles.!!