SOLUTION: what are the rates of the two groups Two towns are 1050 miles apart. A group of hikers start from each town and walk the trail toward each other. They meet after a total hiking

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Question 841921: what are the rates of the two groups
Two towns are 1050 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 1/2 mile per hour faster than the other group, find the rate of each group.
Found 2 solutions by richwmiller, josgarithmetic:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
(r+1/2)*200+r*200=1050
r = 19/8 slower group
19/8+4/8=23/8 faster group

Answer by josgarithmetic(39627) About Me  (Show Source):
You can put this solution on YOUR website!
Group of Hikers________rate_________time________distance
One Group______________r+1/2________200_________%28r%2B1%2F2%29200
Other Group_____________r___________200_________r%2A200
TOTAL___________________________________________1050

highlight_green%28%28r%2B1%2F2%29%2A200%2B200r=1050%29