SOLUTION: Two towns are 1250 miles apart. A group of hikers start from each town and walk the trail toward each other. They meet after a total hiking time of 200 hours. If one group travels

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Question 1128851: Two towns are 1250 miles apart. A group of hikers start from each town and walk the trail toward each other. They meet after a total hiking time of 200 hours. If one group travels 1 and one half
mile per hour faster than the other​ group, find the rate of each group.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Add their rates of travel
Let +r+ = the rate of the slower group
+r+%2B+1.5+ = the rate of the faster group
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+1250+=+%28+r+%2B+r+%2B+1.5+%29%2A200+
+1250+=+%28+2r+%2B+1.5+%29%2A200+
+6.25+=+2r+%2B+1.5+
+2r+=+4.75+
+r+=+2.375+ mi/hr
and
+r+%2B+1.5+=+3.875+ mi/hr
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check:
+1250+=+%28+2.375+%2B+3.875+%29%2A200+
+1250+=+6.25%2A200+
+1250+=+1250+
OK