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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?

Verified Answer :

Kianagruber

time for airplane = 11 am to 1 pm = 2 hr 
distance travelled by plane = 2a ------- (speed of plane is a mph) 

time for auto = 3 am to 1 pm = 10 hr 
distance travelled by plane = 10(a – 200) 

2a = 10(a – 200) 
8a = 2000 
a = 250 mph ----- plane 
and 250 – 200 = 50 mph ----- auto 

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