# SOLUTION: Trains A and B are traveling in the same direction on parallel lines. Train A is traveling at 100 miles per hour and Train B is traveling 125 miles an hour. Than Train A passes a s

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 Question 473924: Trains A and B are traveling in the same direction on parallel lines. Train A is traveling at 100 miles per hour and Train B is traveling 125 miles an hour. Than Train A passes a station at 10:25 AM. If Train B passes the same station at 10:37 AM. What time will B catch up with Train A? When will Train B catch up with Train A? When will Train B catch up to Train A? Time ??? PM or AM? ThanksAnswer by josmiceli(9668)   (Show Source): You can put this solution on YOUR website!Train A has a head start of how many miles when train B passes the station? 10:37 - 10:25 = 12 minutes Train A's head start is: mi ------------------- Now start a stopwatch when B passes the station. Both trains will travel for the same amount of time, until they meet. ------------------- Let = the distance that B has to go until they meet Then = the distance that A has to go until they meet ------------------- For B: (1) For A: (2) -------------------- Substitute (1) into (2) hrs They will meet in hrs or minutes after B leaves station 10:37 AM + 48 min = 11:25 AM is the time B passes A --------------- check answer: A's distance from station is A's time from station is hr mi B's distance from station is also mi OK