SOLUTION: How would I set up this problem? A car traveled 360 miles in 4 hours to a city with the wind. The return trip took 6 hours against the wind. How fast was the car and wind traveling

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Question 812389: How would I set up this problem? A car traveled 360 miles in 4 hours to a city with the wind. The return trip took 6 hours against the wind. How fast was the car and wind traveling?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +s+ = the speed of the car with no wind in mi/hr
Let +w+ = the speed of the wind in mi/hr
+s+%2B+w+ = the speed of the car going with the wind in mi/hr
+s+-+w+ = the speed of the car going against the wind in mi/hr
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Going with the wind:
(1) +360+=+%28+s%2Bw+%29%2A4+
Going against the wind:
(2) +360+=+%28+s-w+%29%2A6+
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There are 2 equations and 2 unknowns, so it is solvable