SOLUTION: when a plane flies w the wind it can travel 4200 miles in 6 hours. when the plane flies in the opp. direction against the wind it takes 7 hrs to fly the same distance. find the

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Question 735241:
when a plane flies w the wind it can travel 4200 miles in 6 hours. when the plane flies in the opp. direction against the wind it takes 7 hrs to fly the same distance. find the rate of the plane in still air and the rate of the wind. how do i set this up?
Found 2 solutions by josmiceli, checkley79:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +p+ = the rate of the plane in still air
Let +w+ = the wind speed
+p+-+w+ = the plane's speed flying against the wind
+p+%2B+w+ = the plane's speed flying with the wind
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Against the wind:
+4200+=+%28+p+-+w+%29%2A7+
With the wind:
+4200+=+%28+p+%2B+w+%29%2A6+
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It's solvable since there are 2 equations and 2 unknowns

Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
D=RT
4,200=R*6
R=4,200/6=700 MPH WITH THE WIND.
4,200=R*7
R=4,200/7=600 MPH AGAINST THE WIND.
(700-600)/2=100/2=50 MPH IS THE WIND SPEED.
THE RATE OF THE PLANE WAS:
700-50=650
600+50=650