SOLUTION: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 80 miles per hour and Train B is traveling at 100 miles per hour. Train A passes a st

Question 420633: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 80 miles per hour and Train B is traveling at 100 miles per hour. Train A passes a station at 9:20 am. If Train B passes the same station at 9:32 am, at what time will Train B catch up to Train A?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Trains A and B are traveling in the same direction on parallel tracks.
Train A is traveling at 80 miles per hour and Train B is traveling at 100 miles per hour.
Train A passes a station at 9:20 am.
If Train B passes the same station at 9:32 am, at what time will Train B catch up to Train A?
:
From the given information, we know that train B is 12 min (1/5 hr) behind
train A, when train A passes the station
:
The distance between the trains at this time: * 100 = 20 mi
:
Let t = time required for train B to catch train A
:
write a distance equation: Dist = speed * time
:
Train B travel dist = Train A travel dist + 20 mi
100t = 80t + 20
100t - 80t = 20
20t = 20
t =
t = 1 hr for B to catch A
:
9:20 AM + 1.00 = 10:20 AM, B catches A
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