SOLUTION: An airplane flying with the wind can cover a certain distance in a = 4 hours. The return trip against the wind takes b = 6 1/2 hours. How fast is the plane and what is the speed of

Question 993560: An airplane flying with the wind can cover a certain distance in a = 4 hours. The return trip against the wind takes b = 6 1/2 hours. How fast is the plane and what is the speed of the wind, if the one-way distance is c = 1040 miles?
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Let w be the wind's speed.

DIRECTION      RATE      TIME      DISTANCE
WITHWIND       r+w        a         c
AGAINSTW       r-w        b         c

Your system of equations in the UNKNOWNS r and w, is
, and hopefully you know what to do with this (and you should solve completely in symbols first).
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