SOLUTION: Two cars are traveling towards each other. If the faster car travles 80 mph and the slower car travels 60 mph, what fraction of the original distance between them does the faster o

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Question 762261: Two cars are traveling towards each other. If the faster car travles 80 mph and the slower car travels 60 mph, what fraction of the original distance between them does the faster one travel before they meet?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
It looks like the time spent traveling is
the same for both.
I'll call that time +t+
Let the faster car's distance covered = +d%5B1%5D+
Let the slower car's distance covered = +d%5B2%5D+
---------------
Equation for faster car:
+d%5B1%5D+=+80t+
Equation for slower car:
+d%5B2%5D+=+60t+
--------------
+d%5B1%5D+%2B+d%5B2%5D+=+80t+%2B+60t+
+d%5B1%5D+%2B+d%5B2%5D+=+140t+
--------------------
+d%281%29+%2F+%28%28+d%5B1%5D+%2B+d%5B2%5D+%29%29+=+80t+%2F+%28140t%29+
+80t+%2F+%28140t%29+=+4%2F7+
The faster car covers 4/7 of the original distance
between them until they meet