SOLUTION: A train leaves the station at 6:00 PM traveling west at 80 mi/h. On a parallel track, a second train leaves the station 3 hours later traveling west at 100 mi/h. At what time will

Question 549899: A train leaves the station at 6:00 PM traveling west at 80 mi/h. On a parallel track, a second train leaves the station 3 hours later traveling west at 100 mi/h. At what time will the second train catch up with the first?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The 1st train has a head start of
mi
Start a stopwatch when the 2nd train leaves
Let = distance 2nd train goes until they meet
Let = time on stopwatch when they meet
---------------
2nd train:

1st train:

-----------------
By substitution,

This is 12 hrs after the 2nd train leaves at 6 PM + 3 = 9 PM
The 2nd train catches up with the 1st train at 9 AM the next day
-----------------
check answer:

and

OK
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