SOLUTION: One plane traveling 400mph goes 1,250 miles with the wind in the same amount of time that another plane going 450mph goes 1,000 miles against the wind. How fast is the wind blowing

Question 967075: One plane traveling 400mph goes 1,250 miles with the wind in the same amount of time that another plane going 450mph goes 1,000 miles against the wind. How fast is the wind blowing?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
One plane traveling 400mph goes 1,250 miles with the wind in the same amount of time that another plane going 450mph goes 1,000 miles against the wind. How fast is the wind blowing?
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Faster plane time:: 1250/(400+w) hrs
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Slower plane time:: 1000/(450-w) hrs
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Equation::
time = time
1250/(400+w) = 1000/(450-w)
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1250*450-1250w = 1000*400+1000w
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2250w = 1250*450-1000*400
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2250w = 162500
wind speed = 72.22 mph
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Cheers,
Stan H.
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