SOLUTION: trains A and B are traveling in 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
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Question 307359: trains A and B are traveling in 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 6:10 A.M. If train B passes the same station at 6:25 A.M., 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 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 6:10 A.M. If train B passes the same station at 6:25 A.M., at what time will train B catch up to 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: * 100 = 25 mi
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Let t = time required for train B to catch train A
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write a distance equation: Dist = speed * time
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Train B travel dist = Train A travel dist + 25 mi
100t = 80t + 25
100t - 80t = 25
20t = 25
t =
t = 1.25 or 1 hr 15 min
:
6:10 + 1:15 = 7:25 AM, B catches A
