SOLUTION: Trains A and B are traveling in the same direction on parallel lines. Train A is traveling at 100 miles per hour and Train B is traveling 125 miles an hour. Than Train A passes a s

Question 473924: Trains A and B are traveling in the same direction on parallel lines. Train A is traveling at 100 miles per hour and Train B is traveling 125 miles an hour. Than Train A passes a station at 10:25 AM. If Train B passes the same station at 10:37 AM. What time will B catch up with Train A? When will Train B catch up with Train A?
When will Train B catch up to Train A?
Time ??? PM or AM?
Thanks
Answer by josmiceli(9668) (Show Source):
You can put this solution on YOUR website!
Train A has a head start of how many miles when
train B passes the station?
10:37 - 10:25 = 12 minutes
Train A's head start is:

mi
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Now start a stopwatch when B passes the station.
Both trains will travel for the same amount of time,
until they meet.
-------------------
Let = the distance that B has to go until they meet
Then = the distance that A has to go until they meet
-------------------
For B:
(1)
For A:
(2)
--------------------
Substitute (1) into (2)

hrs
They will meet in hrs or minutes
after B leaves station
10:37 AM + 48 min = 11:25 AM is the time
B passes A
---------------
check answer:
A's distance from station is
A's time from station is hr

mi
B's distance from station is also

mi
OK