SOLUTION: Wind Speed. Joe traveled against the wind in a small plane for 3 hours. The return trip with wind took 2.8 hours. Find the speed of the wind if the speed of the plane in still air

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Wind Speed. Joe traveled against the wind in a small plane for 3 hours. The return trip with wind took 2.8 hours. Find the speed of the wind if the speed of the plane in still air       Log On


   



Question 814315: Wind Speed. Joe traveled against the wind in a small plane for 3 hours. The return trip with wind took 2.8 hours. Find the speed of the wind if the speed of the plane in still air is 180 mph.
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
p = 180
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s = d / t
d = s * t
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d = (p - w) * 3
d = (p + w) * 2.8
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3(p - w) = 2.8(p + w)
3(180 - w) = 2.8(180 + w)
540 - 3w = 504 + 2.8w
36 = 5.8w
w = 6.2068966
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Answer:
w = 6.2 mph
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