SOLUTION: Train a and b are traveling in the same direction on parallel tracks. Train a is traveling at 100 mph and train b is traveling at 120 mph. Train a passes a station at 7:25 am, trai

Question 577959: Train a and b are traveling in the same direction on parallel tracks. Train a is traveling at 100 mph and train b is traveling at 120 mph. Train a passes a station at 7:25 am, train b passes the same station at 7:40 AM at what time will train b catch up with a.
I CAME UP WITH 8:05 AM
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
after passing the station, train a has a min
head start. In min, train a travels mi
If I start a stopwatch when train b passes station, then
let be the time for them to meet, and be the
distance that b has to travel until they meet
train b's equation:

train a's equation:

----------------
By substitution:

hr
They will meet in 1 hr and 15 min, which is
7:40 AM + 1:15 = 8:55 AM
-----------------------
check:

and

OK
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