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Trains A and B are traveling in the same direction on parallel tracks.
Train A is traveling at 100 miles per hour and train B is traveling at 125 miles per hour.
Train A passes a station at 12.25 P.M. If train B passes the same station at 12:37,
at what time will train B catch up to train A? ______?
from the given information, we know that train B is 12 min (.2 hr) behind
train A, when train A passes the station
The distance between the trains at this time: .2 * 125 = 25 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 + 25 mi
125t = 100t + 25
125t - 100t = 25
t = 1 hr
12:25 + 1 = 1:25 pm, B catches A
Check solution by finding the distances (train B travels 25 mi more than train A)
125 * 1 = 125 mi
100 * 1 = 100 mi
difference = 25 mi