SOLUTION: two motorcyclists start at the same point but travel in opposite directions. one travels 4 miles per hour faster then the other. In 3 hours they are 392 miles apart from each other

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Question 760711: two motorcyclists start at the same point but travel in opposite directions. one travels 4 miles per hour faster then the other. In 3 hours they are 392 miles apart from each other. How fast is each one traveling?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Think of one motorcyclist as standing still and
the other one traveling at the sum of their speeds
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Let +s+ = the speed of the slower one
+s+%2B+4+ = the speed of the faster one
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+392+=+%28+s+%2B+s+%2B+4+%29%2A3+
+392+=+%28+2s+%2B+4+%29%2A3+
+392+=+6s+%2B+12+
+6s+=+380+
+s+=+63.333+
+s+%2B+4+=+67.333+
The speed of the slower one is 63.333 mi/hr
The speed of the faster one is 67.333 mi/hr
check:
slower one:
+d%5B1%5D+=+63.333%2A3+
+d%5B1%5D+=+190+ mi
faster one:
+d%5B2%5D+=+67.333%2A3+
+d%5B2%5D+=+202+ mi
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+d%5B1%5D+%2B+d%5B2%5D+=+190+%2B+202+
+d%5B1%5D+%2B+d%5B2%5D+=+392+
OK