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) (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 hours.
Two equations for the system are
and
-
Two equations in the two unknowns r and w. Solve for them.
Note that the system equivalently is
and
Easily fit for Elimination Method.
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