SOLUTION: Joe flies his small plane from Tampa to Orlando, a distance of 80 miles,against a headwind.The trip takes 32 minutes.later he returns to Tampa with the headwind at his back,making

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Question 840861: Joe flies his small plane from Tampa to Orlando, a distance of 80 miles,against a headwind.The trip takes 32 minutes.later he returns to Tampa with the headwind at his back,making the return trip in 20 minutes.How fast does he fly through the air?How fast is the wind blowing?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
RT=D rate, time, distance

______________speed___________time____________distance
Going_________r-w_____________32/60___________80
Back__________r+w_____________1/3_____________80

The time going, is 16%2F30=8%2F16 hours.

Two equations for the system are
%28r-w%29%288%2F15%29=80
and
%28r%2Bw%29%281%2F3%29=80
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Two equations in the two unknowns r and w. Solve for them.
Note that the system equivalently is
r-w=150
and
r%2Bw=240
Easily fit for Elimination Method.