SOLUTION: A certain aircraft can fly 1330 miles with the wind in 5 hours and travel the same distance against the wind in 7 hours. What is the speed of the wind? Can you please show all the

Question 453491: A certain aircraft can fly 1330 miles with the wind in 5 hours and travel the same distance against the wind in 7 hours. What is the speed of the wind? Can you please show all the steps to this problem THANK YOU SOOOOO MUCH
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A certain aircraft can fly 1330 miles with the wind in 5 hours and travel the same distance against the wind in 7 hours.
What is the speed of the wind?
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With-wind DATA:
distance = 1330 miles ; time = 5 hrs ; rate = d/t = 1330/5 = 266 mph
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Against-wind DATA:
distance 1330 miles ; time = 7 hrs ; rate = d/t = 1330/7 = 190 mph
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Equations:
Let p be plane speed in still air.
Let w be wind speed.
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p + w = 266 mph
p - w = 190 mph
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Subtract to solve for wind speed:
2w = 76
wind speed = 38 mph
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Cheers,
Stan H.
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