SOLUTION: Fred left Atlanta traveling 65mph. Alyssa, to catch up, left some time later driving 74mph. Alyssa caught up after 9hours. How long was Fred driving before Alyssa caught up?

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Fred left Atlanta traveling 65mph. Alyssa, to catch up, left some time later driving 74mph. Alyssa caught up after 9hours. How long was Fred driving before Alyssa caught up?      Log On

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Question 850865: Fred left Atlanta traveling 65mph. Alyssa, to catch up, left some time later driving 74mph. Alyssa caught up after 9hours. How long was Fred driving before Alyssa caught up?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Start a stop watch when Fred leaves Atlanta
Let +t+ = time on stop watch when Alyssa
catches Fred
Let +d+ = the distance that both of them traveled
until Alyssa catches Fred
-----------------------------------------------
Fred's equation:
(1) +d+=+65t+
Alyssa's equation:
(2) +d+=+74%2A9+
---------------
(2) +d+=+666+
and
(1) +d+=+65t+
(1) +666+=+65t+
(1) +t+=+10.246+
Fred drove for 10.246 hrs before
Alyssa caught up
Hope I got it