SOLUTION: Syracuse and New York City are 240 miles apart. One car left Syracuse heading for New York City at an average of 65 mph. A second car left New York City heading to Syracuse at 55

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Question 1103485: Syracuse and New York City are 240 miles apart. One car left Syracuse heading for New York City at an average of 65 mph. A second car left New York City heading to Syracuse at 55 mph. How far from Syracuse did the cars pass each other?
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39614) About Me  (Show Source):
You can put this solution on YOUR website!
%2865%2B55%29%2At=240
t=240%2F120=2-----the time when pass each other

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65%2A2=highlight%28130%29

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +d%5B1%5D+ = distance that Syracuse to NY
car travels until they meet
Let +d%5B2%5D+ = distance that NY to Syracuse
car travels until they meet
Let +t+ = time in hrs until they meet
-----------------------------------------
(1) +d%5B1%5D+%2B+d%5B2%5D+=+240+
(2) +d%5B1%5D+=+65t+
(3) +d%5B2%5D+=+55t+
----------------------------
(1) +65t+%2B+55t+=+240+
(1) +120t+=+240+
(1) +t+=+2+
----------------------------
(2) +d%5B1%5D+=+65%2A2+
(2) +d%5B1%5D+=+130+
The cars pass eachother 130 mi from Syracuse
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check:
(3) +d%5B2%5D+=+55%2A2+
(3) +d%5B2%5D+=+110+
and
+d%5B1%5D+%2B+d%5B2%5D+=+130+%2B+110+
+d%5B1%5D+%2B+d%5B2%5D+=+240+
OK