SOLUTION: Two cyclists, one averaging 10 miles per hour and the other 12 miles per hour, start from the same town at the same time. If they travel in opposite directions, after how long will

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Question 853179: Two cyclists, one averaging 10 miles per hour and the other 12 miles per hour, start from the same town at the same time. If they travel in opposite directions, after how long will they be 66 miles apart?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Think of one of them as standing still and
the other one moving at the sum of their speeds
Let +t+ = the time in hours when they will be
+66+ miles apart
---------------------
+66+=+%28+10+%2B+12+%29%2At+
+t+=+66%2F22+
+t+=+3+
They will be 66 miles apart in 3 hrs
check:
+d%5B1%5D+=+10t+
+d%5B1%5D+=+10%2A3+
+d%5B1%5D+=+30+
and
+d%5B2%5D+=+12%2A3+
+d%5B2%5D+=+36+
and
+d%5B1%5D+%2B+d%5B2%5D+=+30+%2B+36+
+d%5B1%5D+%2B+d%5B2%5D+=+66+
OK