SOLUTION: train A is traveling at 60 mph and train B at 80 mph. train A passes the station at 810 and train B at 825 at what time will train B catch train A?

Question 280099: train A is traveling at 60 mph and train B at 80 mph. train A passes the station at 810 and train B at 825 at what time will train B catch train A?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Train A has a 15 minute head start over B if you consider
the station as the starting point. In that time, A has gone
miles.
Assume I have a stopwatch. I'll start it when B reaches the station
If I stop it when B catches A, both trains will have been moving
for the same length of time, which I'll call
given:
mi/hr
mi/hr
mi
----------------
Now I can write equations for both trains

By substitution,

hr
Train B will catch train A in 45 min, or at 8:25 + 45 = 9:05
check answer:

mi
and

mi
OK
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