SOLUTION: a car goes down a street at 26 miles an hour two hours later another one goes down the same street at how long will it take for the second car to catch up to the first when its goi

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Question 650123: a car goes down a street at 26 miles an hour two hours later another one goes down the same street at how long will it take for the second car to catch up to the first when its going 52 miles an hour
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The 1st car has a head start of
+26%2A2+=+52+ mi
Start a stopwatch when you see the 2nd car
Stop the stopwatch when the 2nd car catches the 1st
Call that time +t+
Let +d+ = the distance that the 2nd car travels
-----------------
Equation for 1st car:
(1) +d+-+52+=+26t+
Equation for 2nd car:
(2) +d+=+52t+
--------------
Substitute (2) into (1)
(1) +52t+-+52+=+26t+
(1) +26t+=+52+
(1) +t+=+2+ hrs
The 2nd car catches the 1st car in 2 hrs
check answer:
(1) +d+-+52+=+26t+
(1) +d+-+52+=+26%2A2+
(1) +d+-+52+=+52+
(1) +d+=+104+ mi
and
(2) +d+=+52t+
(2) +d+=+52%2A2+
(2) +d+=+104+ mi
OK