SOLUTION: In 2006, Atlanta's Hartsfield Airport was the nation's busiest. Suppose two planes leave the airport at the same time, on traveling east and the other traveling west. If the planes

Question 814142: In 2006, Atlanta's Hartsfield Airport was the nation's busiest. Suppose two planes leave the airport at the same time, on traveling east and the other traveling west. If the planes are 2100 mi apart after 2 hr and one plane travels 50 mph faster than the other, find the speed of each plane.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
because the question is only concerned about the relative speed between the two airplanes, we can simplify the problem into a single airplane traveling at the combined speed of the two airplanes:
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b = a + 50
s = a + b
s = a + a + 50
s = d / t
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s = 2100 / 2 = 1050 mph
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1050 = a + a + 50
1050 = 2a + 50
2a = 1000
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Answer:
a = 500 mph
b = 550 mph
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