SOLUTION: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40 miles per hour and Train B is traveling at 50 miles per hour. Train A passes a sta

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Question 446306: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40 miles per hour and Train B is traveling at 50 miles per hour. Train A passes a station at 11:25AM. If Train B passes the same station at 11:37AM, at what time will Train B catch up to Train A?
When will Train B catch up with Train A?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Trains A and B are traveling in the same direction on parallel tracks.
Train A is traveling at 40 miles per hour and Train B is traveling at 50 miles per hour.
Train A passes a station at 11:25AM.
If Train B passes the same station at 11:37AM, at what time will Train B catch up to Train A?
When will Train B catch up with Train A?
:
From the given information, we know that Train B is 12 min behind A at at 11:25 am
therefore Train B is:
12%2F60 * 50 = 10 miles behind Train A at that time.
:
Let t = time required for Train B to catch Train A
:
Write a distance equation; dist = speed * time
:
Train B dist = Train A dist + 10 mi
50t = 40t + 10
50t - 40t = 10
10t = 10
t = 1 hr for B to catch A
:
Find the time from 11:25 am:
11:25 + 1:00 = 12:25 pm, Train B catches Train A
:
:
Check this by finding the actual distance each train travels
B travels: 50*1 = 50 mi
while A travels: 40*1 = 40 mi