SOLUTION: Two cyclists, 48 miles apart, start riding toward each other at the same time. One cycles 3 times as fast as the other. If they meet 2 hours later, what is the speed (in mi/h) of t

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Two cyclists, 48 miles apart, start riding toward each other at the same time. One cycles 3 times as fast as the other. If they meet 2 hours later, what is the speed (in mi/h) of t      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 569506: Two cyclists, 48 miles apart, start riding toward each other at the same time. One cycles 3 times as fast as the other. If they meet 2 hours later, what is the speed (in mi/h) of the faster cyclist?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
They are approaching each other at the sum of their speeds
Think of one ( either one ) as standing still and the
other moving at the sum of their speeds
Call the speed of the faster one +3s+
The speed of the slower one is +s+
I can say +48+=+%28+3s+%2B+s+%29%2A2+
+48+=+6s+%2B+2s+
+8s+=+48+
+s+=+6+
+3s+=+18+
The speed of the faster cyclist is 18 mi/hr