SOLUTION: A direct flight on delta air lines from atlanta to paris is 4000 miles and takes approximately 8 hours going east(atlanta to paris) and 10 hours going west(paris to atlanta). altho

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A direct flight on delta air lines from atlanta to paris is 4000 miles and takes approximately 8 hours going east(atlanta to paris) and 10 hours going west(paris to atlanta). altho      Log On


   



Question 644432: A direct flight on delta air lines from atlanta to paris is 4000 miles and takes approximately 8 hours going east(atlanta to paris) and 10 hours going west(paris to atlanta). although the plane averages the same airspeed, there is a headwind while traveling east, resulting in a different air speeds. What is the average air speed of the plane and what is the average wind speed?
Answer by Alan3354(69443) About Me  (Show Source):
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A direct flight on delta air lines from atlanta to paris is 4000 miles and takes approximately 8 hours going east(atlanta to paris) and 10 hours going west(paris to atlanta). although the plane averages the same airspeed, there is a headwind while traveling east, resulting in a different air speeds. *** The airspeed is the same, the groundspeeds are different. ***
What is the average air speed of the plane and what is the average wind speed?
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4000/8 = 500 mi/hr
4000/10 = 400 mi/hr
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The plane's airspeed is the average = (500+400)/2 = 450 mi/hr
The windspeed is the difference = 500 - 450 = 50 mi/hr