SOLUTION: An airplane can fly 665 miles with the wind at 40 mph in the same amount of time it can fly 535 miles against the wind at 40 mph. What is the speed of the plane without any wind?

Question 1030961: An airplane can fly 665 miles with the wind at 40 mph in the same amount of time it can fly 535 miles against the wind at 40 mph. What is the speed of the plane without any wind?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
An airplane can fly 665 miles with the wind at 40 mph in the same amount of time it can fly 535 miles against the wind at 40 mph. What is the speed of the plane without any wind?
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With wind DATA:
dist = 665 miles ; rate = p+40 mph ; time = 665/(p+40) hrs
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Against wind DATA:
dist = 535 miles ; rate = p-40 mph ; time = 535/(p-40) hrs
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Equation::
665/(p+40) = 535/(p-40)
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665p - 665*40 = 535p+535*40
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130p = 1200*40
p = 369.23 mph (speed of plane without wind)
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Cheers,
Stan H.
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