SOLUTION: Speed of an airplane. When there is a 50-mile per hour wind, an airplane can fly 675 miles with the wind in the same time that it can fly 450 miles against the wind. Find the spe

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Question 319503: Speed of an airplane. When there is a 50-mile per hour wind, an airplane can fly 675 miles with the wind in the same time that it can fly 450 miles against the wind. Find the speed of the plane when there is no wind.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Speed of an airplane. When there is a 50-mile per hour wind, an airplane can fly 675 miles with the wind in the same time that it can fly 450 miles against the wind. Find the speed of the plane when there is no wind.
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With-wind DATA:
distance = 675 mi ; rate = p+50 ; time = 675/(p+50) hrs
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Against-wind DATA:
distance = 450 mi ; rate = p-50 ; time = 450/(p-50) hrs
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Equation:
time = time: 675/(p+50) = 450/(p-50)
675*(p-50) = 450*(p+50)
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675p - 675*50 = 450p + 450*50
225p = 1125*50
p = 250 (speed of the plane in still air)
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Cheers,
Stan H.
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