SOLUTION: Two cyclists start from the same place at the same time. they travel in opposite directions. one averages ten mph and the other 12 mph. After how long will they be 66 miles apart?

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Question 1046697: Two cyclists start from the same place at the same time. they travel in opposite directions. one averages ten mph and the other 12 mph. 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!
You can think of this as one of the cyclists
standing still and the other one moving
at the sum of their speeds
Let +t+ = the time in hrs for them to be
+66+ mi apart
---------------------------------------
+66+=+%28+10+%2B+12+%29%2At+
+22t+=+66+
+t+=+3+ hrs
In 3 hrs they will be 66 mi apart
-------------------------------
check:
(1) +d%5B1%5D+=+10t+
(1) +d%5B1%5D+=+10%2A3+
(1) +d%5B1%5D+=+30+
and
(2) +d%5B2%5D+=+12%2A3+
(2) +d%5B2%5D+=+36+
--------------------
+d%5B1%5D+%2B+d%5B2%5D+=+66+
+30+%2B+36+=+66+
+66+=+66+
OK