SOLUTION: A car leaves Hartford traveling north at 56 km/h. Another car leaves Hartford one hour later traveling north on the same road at 84 km/h. How far from Hartford will the second car

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Question 967353: A car leaves Hartford traveling north at 56 km/h. Another car leaves Hartford one hour later traveling north on the same road at 84 km/h. How far from Hartford will the second car overtake and pass the first car?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
What is the 1st car's head start?
+d%5B1%5D+=+56%2A1+
+d%5B1%5D+=+56+ km
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Start a stopwatch when the 2nd car leaves Hartford
Let +d+ = distance in km 2nd car travels
until it catches 1st car
Let +t+ = time in hrs on stopwatch when 2nd
car catches 1st car
-----------------
Equation for 1st car:
(1) +d+-+56+=+56t+
Equation for 2nd car:
(2) +d+=+84t+
--------------------
By substitution:
+84t+-+56+=+56t+
+28t+=+56+
+t+=+2+ hrs
and
(2) +d+=+84%2A2+
(2) +d+=+168+
168 km from Hartford the 2nd car overtakes the 1st
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check:
(1) +d+-+56+=+56t+
(1) +168+-+56+=+56%2A2+
(1) +112+=+112+
OK