SOLUTION: Flying against the wind, an airplane travels 3950 km in 5 hours. Flying with the wind, the same plane travels 8750 km in 7 hours. What is the rate of the plane in still air and wha

Question 1034476: Flying against the wind, an airplane travels 3950 km in 5 hours. Flying with the wind, the same plane travels 8750 km in 7 hours. What is the rate of the plane in still air and what is the rate of the wind?
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!

r       speed without wind
w       speed of wind
t[a]    time against wind
t[b]    time with the wind
d[a]    distance against wind
d[b]    distance with the wind

UNKNOWN VARIABLES: r and w

                  SPEED          TIME         DISTANCE

AGAINST           r-w                     

WITHWIND          r+w

SYSTEM OF EQUATIONS:
Solve the system of equations for r and w.
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