SOLUTION: Against the wind a small plane travels 175 miles in 1 hour and 10 minutes. The trip back only took 50 minutes. What was the speed of the wind? What was the speed of plane in still

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Question 840608: Against the wind a small plane travels 175 miles in 1 hour and 10 minutes. The trip back only took 50 minutes. What was the speed of the wind? What was the speed of plane in still air?
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
70 minutes against wind or 7%2F6 hours;
r plane if no wind
w speed of wind

R%2At=d, for Rate, Time, Distance

_________________speed___________time___________distance
AGAINST__________r-w_____________7/6____________d=%28r-w%29%287%2F6%29=175
WITH_____________r+w_____________5/6____________d=%28r%2Bw%29%285%2F6%29=175

Two equations in the two unknowns, r and w. Both equations linear.