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Train A and train B are traveling in the same direction on parallel tracks.
Train A is traveling 40 mile per hour and train B is traveling 48 miles per hour.
Train A passes a station at 8:20am if train B passes the same station at 8:35
at what time will train B catch train A?
from the given information, we know that train B is 15 min (1/4 hr) behind
train A, when train A passes the station
The distance between the trains at this time:
* 48 = 12 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 + 12 mi
48t = 40t + 12
48t - 40t = 12
8t = 12
t = 1.5 hr or 1 hr 30 min
8:20 AM + 1:30 = 9:50 am, B catches A