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

Algebra ->  Customizable Word Problem Solvers  -> Travel -> 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      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

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(39618) About Me  (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             t%5Ba%5D        d%5Ba%5D

WITHWIND          r+w             t%5Bb%5D        d%5Bb%5D


SYSTEM OF EQUATIONS: system%28%28r-w%29%2At%5Ba%5D=d%5Ba%5D%2C%28r%2Bw%29t%5Bb%5D=d%5Bb%5D%29
Solve the system of equations for r and w.