SOLUTION: two bikers start at opposite ends of a trail and bike toward each other. the trail is 210 miles long and they meet in 5 hours. if one biker is twice as fast as the other, find both

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Question 912789: two bikers start at opposite ends of a trail and bike toward each other. the trail is 210 miles long and they meet in 5 hours. if one biker is twice as fast as the other, find both biking speeds
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Think of this as one biker standing still and
the other traveling at the sum of their speeds
Let +s+ = the speed of the slower biker in mi/hr
+2s+ = the speed of the faster biker in mi/hr
-------------------------------------
+210+=+%28+s+%2B+2s+%29%2A5+
+210+=+3s%2A5+
+210+=+15s+
+s+=+14+
and
+2s+=+28+
--------------
Their speeds are 14 mi/hr and 28 mi/hr
check:
+d%5B1%5D+=+14%2A5+
+d%5B1%5D+=+70+
and
+d%5B2%5D+=+28%2A5+
+d%5B2%5D+=+140+
-----------------
+d%5B1%5D+%2B+d%5B2%5D+=+70+%2B+140+
+d%5B1%5Dm+%2B+d%5B2%5D+=+210+
OK