SOLUTION: A plane flying with a tail wind flew at a speed of 460 mph, relative to the ground. When flying against the tailwind, it flew at a speed of 340mph. graph the system to find the spe
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Question 765508: A plane flying with a tail wind flew at a speed of 460 mph, relative to the ground. When flying against the tailwind, it flew at a speed of 340mph. graph the system to find the speed of the plane in calm air and the speed of the tailwind
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A plane flying with a tail wind flew at a speed of 460 mph, relative to the ground. When flying against the tailwind, it flew at a speed of 340mph. graph the system to find the speed of the plane in calm air and the speed of the tailwind
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p + w = 460 mph
p - w = 340 mph
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Add and solve for "p":
2p = 800
p = 400 (speed of the plane in still air)
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Solve for "w":
p + w = 460
400 + w = 460
w = 60 mph (speed of the wind)
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Cheers,
Stan H.
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