SOLUTION: An airplane travels 600 miles against the wind in 4 hours, and makes the return trip with the same wind in 2 hours. Find the speed of the wind.

Question 929409: An airplane travels 600 miles against the wind in 4 hours, and makes the return trip with the same wind in 2 hours. Find the speed of the wind.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = wind speed
y = airplane speed in still air
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s = d/t
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against the wind:
y - x = 600/4
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with the wind:
y + x = 600/2
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put the system of linear equations into standard form
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x - y = -150
x + y = 300
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copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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solution:
x = wind speed = 75 mph
y = airplane speed in still air = 225 mph
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Solve systems of linear equations up to 6-equations 6-variables:
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