# 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 84 miles per hour. Train A passes a st

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> 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 84 miles per hour. Train A passes a st      Log On

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 Question 578444: 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 84 miles per hour. Train A passes a station at 3:10 pm. If train B passes the same station at 3:40 pm, at what time will train B catch up to train A?Answer by ankor@dixie-net.com(15628)   (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 84 miles per hour. Train A passes a station at 3:10 pm. If train B passes the same station at 3:40 pm, at what time will train B catch up to train A? : From the given information, we know that Train B is .5 hrs behind A at at 3:10 pm therefore Train B is: .5 * 84 = 42 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 + 42 mi 84t = 80t + 42 84t - 80t = 42 4t = 42 t = t = 10.5 hrs for B to catch A : Convert 10.5 hrs to 10 hrs 30 min : Find the time from 3:10 pm: + 10:30 = 13:40 which is: 1:40 AM