SOLUTION: A 600 mile trip from one city to another takes 4 hours when the plane is flying with the wind. The return trip against the wind takes 5 hours. Find the rate of the plane in still a
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Question 945891: A 600 mile trip from one city to another takes 4 hours when the plane is flying with the wind. The return trip against the wind takes 5 hours. Find the rate of the plane in still air and the rate of the wind.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = speed of airplane in still air (mph)
y = speed of the wind (mph)
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s = d/t
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downwind:
x + y = 600/4
x + y = 150
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upwind:
x - y = 600/5
x - y = 120
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put the system of linear equations into standard form
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x + y = 150
x - y = 120
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http://sooeet.com/math/system-of-linear-equations-solver.php
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solution:
x = 135
y = 15
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