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?

Question

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?

anonymous · Answer

@ajprincess

ajprincess · Answer

Let the average speed of the airplane be x.
x=200+r
speed=distance/time
distance=speed*time
Time taken by airplane=13.00-11.00=2
Time taken by automobile=13.00-3.00=10
Distances are equal
$$\frac{ 200+r }{ 2}=\frac{ r }{ 10 }$$
Can u find r @david17?

anonymous · Answer

t* r = d
Solve the following for r:$$10 r=2(200+r)$$r = 50$$10*50 = 500 $$

ajprincess · Answer

oops sorry.
$2(200+r)=10*r$

anonymous · Answer

@ajprincess 

Thank you for the medal.

anonymous · Answer

200r
2(200 + r)
10r  @ajprincess  is a

ajprincess · Answer

Welcome @robtobey:) nd I didnt get ur question @david17.