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

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Question 763749: 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!
You can think of one cyclist as standing still and
the other one approaching at the sum of their speeds
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Let +s+ = the speed of the slower one
+3s+ = the speed of the faster one
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+48+=+%28+s+%2B+3s+%29%2A2+
+48+=+4s%2A2+
+8s+=+48+
+s+=+6+
+3s+=+18+
The faster cyclist's speed is 18 mi/hr
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check answer:
Slower cyclist:
+d%5B1%5D+=+s%2A2%0D%0A%7B%7B%7B+d%5B1%5D+=+6%2A2+
+d%5B1%5D+=12+
Faster cyclist:
+d%5B2%5D+=+3s%2A2+
+d%5B2%5D+=+18%2A2+
+d%5B2%5D+=+36+
+d%5B1%5D+%2B+d%5B2%5D+=+48+
OK