SOLUTION: Two cyclists 65 miles apart start biking toward each other at the same time. One cyclist bikes 5 miles per hour faster than the other; assume they travel at constant speeds. If the

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Question 731585: Two cyclists 65 miles apart start biking toward each other at the same time. One cyclist bikes 5 miles per hour faster than the other; assume they travel at constant speeds. If they meet 2 hours later, how fast is the faster cyclist traveling?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You can think of this as one cyclist standing still and
the other one approaching at the sum of their speeds
Let +s+ = the speed of the slower cyclist in mi/hr
+s+%2B+5+ = the speed of the faster cyclist in mi/hr
--------------------
+65+=+%28+s+%2B+s+%2B+5+%29%2A2+
+65+=+%28+2s+%2B+5+%29%2A2+
+65+=+4s+%2B+10+
+4s+=+55+
+s+=+13.75+
+s+%2B+5+=+18.75+
The faster cyclist's speed is 18.75 mi/hr
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check:
Faster cyclist:
+d%5B1%5D+=+18.75%2A2+
+d%5B1%5D+=+37.5+
Slower cyclist:
+d%5B2%5D+=+s%2A2+
+d%5B2%5D+=+13.75%2A2+
+d%5B2%5D+=+27.5+
--------------
+d%5B1%5D+%2B+d%5B2%5D+=+37.5+%2B+27.5+
+d%5B1%5D+%2B+d%5B2%5D+=+65+
OK