SOLUTION: Jackie and Johnny are traveling from Seattle to San Diego. Jackie who is driving 80 mph caught up to Johnny who had a one hour Headstart and is driving 70 mph. How far were the

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Question 1109107: Jackie and Johnny are traveling from Seattle to San Diego. Jackie who is driving 80 mph caught up to Johnny who had a one hour Headstart and is driving 70 mph. How far were the two from their starting point when Jackie caught up to Johnny
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Johnny's headstart in miles is:
+d%5B1%5D+=+70%2A1+
+d%5B1%5D+=+70+ mi
Start a stopwatch when Jackie leaves
Let +t+ = the time in hrs on the stopwatch
when Jackie catches up with Johnny
Let +d+ = the distance Jackie travels
until he catches up with Johnny
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Johnny's equation:
(1) +d+-+d%5B1%5D+=+70t+
Jackie's equation:
(2) +d+=+80t+
-------------------------
(1) +d+-+70+=+70t+
Plug (2) into (1)
(1) +80t+-+70+=+70t+
(1) +10t+=+70+
(1) +t+=+7+ hrs
and
(2) +d+=+80%2A7+
(2) +d+=+560+
Both were 560 mi from the starting point
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check:
(1) +d+-+70+=+70t+
(1) +d+=+70%2A7+%2B+70+
(1) +d+=+490+%2B+70+
(1) +d+=+560+
OK