SOLUTION: Travel: Connor is driving 65 miles per hour on the highway. Ed is 15 miles behind him driving at 70 miles per hour. After how may hours will ED catch up to Connor? I learned a

Question 214012This question is from textbook california algebra 1
: Travel:
Connor is driving 65 miles per hour on the highway. Ed is 15 miles behind him driving at 70 miles per hour. After how may hours will ED catch up to Connor?
I learned about d=rt but I can't seem to get this one. I understand that it is pushing me to think, but... This question is from textbook california algebra 1

Found 2 solutions by checkley77, josmiceli:
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
d=rt
15=(70-65)t
15=5t
t=15/5
t=3 hours Connor will catch Ed.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Imagine you have a stopwatch. You start it at
the exact moment that Ed is 15 mi behind Connor.
You will stop the stopwatch at the exact moment
Ed catches Connor. That means they are both
going to be driving for the same length of time.
You also know that Ed will have to drive 15 mi more
than Connor to catch him.
----------------------------------------------
You need 2 sets of equations, one for each driver

and

You already know that (call them both )
And
given:

Now rewrite the equations

And by substitution,

hrs
Ed will catch Connor in 3 hrs
check answer:

mi
and

OK

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