# SOLUTION: Train A & B are traveling in the same direction on parallel track. Train A is traveling 80 miles per hour and train B is traveling 90 miles per hour. Train A passes station at 3:10

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 Click here to see ALL problems on Travel Word Problems Question 280838: Train A & B are traveling in the same direction on parallel track. Train A is traveling 80 miles per hour and train B is traveling 90 miles per hour. Train A passes station at 3:10 pm If train B passes same station at 3:22 pm what time will train B catch up to train AFound 3 solutions by stanbon, Alan3354, josmiceli:Answer by stanbon(57940)   (Show Source): You can put this solution on YOUR website!Train A & B are traveling in the same direction on parallel track. Train A is traveling 80 miles per hour and train B is traveling 90 miles per hour. Train A passes station at 3:10 pm If train B passes same station at 3:22 pm what time will train B catch up to train A? ------------------ Train A DATA: rate = 80 mph ; time = x hrs ; distance = rt = 80x miles ------------------------------- Train B DATA: rate = 90 mph ; time = (x-(12/60)) hrs ; distance = 90(x-(1/5)) miles ------------------------------- Equation: distance = distance 80x = 90x - 18 10x = 18 x = 1.8 hrs = 1 hr 48 minutes =================================== Cheers, Stan H. Answer by Alan3354(31487)   (Show Source): You can put this solution on YOUR website!Train A & B are traveling in the same direction on parallel track. Train A is traveling 80 miles per hour and train B is traveling 90 miles per hour. Train A passes station at 3:10 pm If train B passes same station at 3:22 pm what time will train B catch up to train A -------------------- at 322, train A is 16 miles from the station (80 mph * 12/60) Train B gains on train A at 10 mph (90 - 80) 16 miles at 10 mph --> 1.6 hours or 1 hr 36 minutes 322 + 136 = 4:58 PM Answer by josmiceli(9817)   (Show Source): You can put this solution on YOUR website!I have a stopwatch. I'll start it when the 2nd train, train B, passes the station Train A passed the station 12 min ago at 3:10 How far did train A get in 12/60 hr? That is his headstart mi Now write equations for each train, with time = for both, since I'll stop the stopwatch when they meet Also note that Substituting: (1) (2) Substituting again: hr B will catch A in 1 hour 36 min, or at 3:22 + 1:36 = 4:58 PM check: OK