SOLUTION: Will you please help me answer this question none of my friends or parents know what to do, I could really use your help. Here is the question: flying with the wind a plane

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Question 720508: Will you please help me answer this question none of my friends or parents know what to do, I could really use your help.
Here is the question:
flying with the wind a plane went 135 mph. Flying into the same wind the plane only went 93 mph. Find the speed of the wind and the speed of the plane in still air.

Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
flying with the wind a plane went 135 mph. Flying into the same wind the plane only went 93 mph. Find the speed of the wind and the speed of the plane in still air.
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Let p be speed of the plane in still air ;Let w = speed of wind.
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Equation:
P + w = 135 mph
p - w = 93 mph
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Add and solve for "p":
2p = 228
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p = 114 mph (speed of the plane in still air)
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Subtract those same equations and solve for "w":
2w = 42 mph
w 21 mph (speed of the wind.
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Cheers,
Stan H.
Solve for "W":

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +p+ = the speed of the plane in still air
Let +w+ = the speed of the wind
+p+%2B+w+ = the plane's speed flying with the wind
+p+-+w+ = the plane's speed flying into the wind
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given:
(1) +p+%2B+w+=+135+ mi/hr
92) +p+-+w+=+93+ mi/hr
Now add the equations
+2p+=+228+
+p+=+114+
Plug this value back into (1) or (2)
(1) +114+%2B+w+=+135+
(1) +w+=+21+
The speed of the plane in still air is 114 mi/hr
The speed of the wind is 21 mi/hr