SOLUTION: an airplace travels 1800 miles against the wind for 6 hours. The return trip takes 5 hours. Find the speed of the airplane in still air and the speed of the wind. I know the an

Question 300378: an airplace travels 1800 miles against the wind for 6 hours. The return trip takes 5 hours. Find the speed of the airplane in still air and the speed of the wind.
I know the answer is 30 mph wind speed, and 330 cruising speed. I can figure it out in my head, I just do not know the proper equation to plug the numbers into.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
I'm not sure how you figure it out in your head without an equation???
.
.
.
Let the plane speed be S and the wind speed be W.
Remember rate multipled by time equals distance.
Against the wind,
1.
2.
You can simplify each equation.
1.
2.
Add the two equations together to get rid of W.

Then from eq. 2,

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