SOLUTION: An airplane flies 3000 miles coast to coast in 6 hours with a tailwind pushing it. When it flies back against the wind, it takes 7.5 hours. What is the speed of the airplane in sti

Question 925336: An airplane flies 3000 miles coast to coast in 6 hours with a tailwind pushing it. When it flies back against the wind, it takes 7.5 hours. What is the speed of the airplane in still air and what is the speed of the wind?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = airplane speed in still air
y = wind speed
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s = d/t
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downwind:
x + y = 3000/6
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upwind:
x - y = 3000/7.5
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put the system of linear equations into standard form
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x + y = 500
x - y = 400
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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 = airplane speed in still air = 450 mph
y = wind speed = 50 mph
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Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
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Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
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Solve systems of linear equations up to 6-equations 6-variables:
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