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. Find the rate of the automobile.
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Airplane starts at 11 a.m. and finish by 1:00 p.m
Time for airplane = 11 am to 1 pm = 2 hr
Let the speed of the plain be x mph
Distance travelled by plane = 2 *x=2x ------- (speed of plane is a mph)
The automobile starts at 3 a.m and finish by 1:00 p.m
Time for auto = 3 am to 1 pm = 10 hr
The average speed of one airplane is 200 mph faster than that of an automobile
The speed of the automobile is (x - 200) mph
Distance travelled by automobile = 10 hr*(x - 200)
2x = 10(a - 200)
8x = 2000
x = 250 mph ----- speed of the plane
and 250 - 200 = 50 mph ----- speed of the auto
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