SOLUTION: an airplane can average 100mph. if a trip take 2 hours one way and return takes 1 hour and 15 minutes, find the wind speed assuming it is constant.

Question 395615: an airplane can average 100mph. if a trip take 2 hours one way and return takes 1 hour and 15 minutes, find the wind speed assuming it is constant.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
an airplane can average 100mph.
if a trip take 2 hours one way and
return takes 1 hour and 15 minutes,
find the wind speed assuming it is constant.
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Going DATA:
time = 2 hrs ; rate = 100-w ; distance = 2(100-w) miles
---
Return DATA:
time = (5/4) hrs ; rate = 100+w ; distance = (5/4)(100+w) miles
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Equation:
distance = distance
200-2w = (5/4)100 + (5/4)w
---
800 - 8w = 500 + 5w
300 = 13w
----
w = 23.08 mph (wind speed)
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Cheers,
Stan H.
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