SOLUTION: At 3pm one car easing north on a freeway passes an exit ramp averaging 60mph. Another northbound car passes the same exit ramp 10 minutes later averaging 65 mph. What time will the

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Question 913990: At 3pm one car easing north on a freeway passes an exit ramp averaging 60mph. Another northbound car passes the same exit ramp 10 minutes later averaging 65 mph. What time will the second car pass the first?
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+=+60%2A%2810%2F60%29+
+d%5B1%5D+=+10+ mi
Start a stopwatch when the 2nd car reaches ramp
Let +t+ = time in hrs for 2nd car to catch 1st car
Let +d+ = distance the 2nd car travels until
it catches 1st car
------------------------
Equation for 1st car:
(1) +d+-+10+=+60t+
Equation for 2nd car:
(2) +d+=+65t+
----------------
Substitute (2) into (1)
(1) +65t+-+10+=+60t+
(1) +5t+=+10+
(1) +t+=+2+
3 PM plus +2+ hrs = 5 PM the
2nd car catches 1st car
----------------------
check:
(2) +d+=+65%2A2+
(2) +d+=+130+
and
(1) +d+-+10+=+60%2A2+
(1) +d+=+120+%2B+10+
(1) +d+=+130+