SOLUTION: Two towns are 1300 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

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Two towns are 1300 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       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1158412: Two towns are 1300 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 1/2 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 +s+ = the speed of the slower group in mi/hr
+1.5s+ = the speed of the faster group in mi/hr
---------------------------
+1300+=+%28+s+%2B+1.5s+%29%2A200+
+6.5+=+2.5s+
+s+=+2.6+
and
+1.5s+=+1.5%2A2.6+
+1.5s+=+3.9+
-----------------------
Their speeds are 2.6 mi/hr and 3.9 mi/hr
-----------------------
check:
+1300+=+%28+s+%2B+1.5s+%29%2A200+
+1300+=+%28+2.6+%2B+3.9+%29%2A200+
+1300+=+6.5%2A200+
+1300+=+1300+
OK