SOLUTION: trains A and B are traveling in the same direction on the parallel tracks. train A is traveling 100 miles per hour and train B is traveling at 110miles per hour. Train A passed a s

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 Question 255703: trains A and B are traveling in the same direction on the parallel tracks. train A is traveling 100 miles per hour and train B is traveling at 110miles per hour. Train A passed a station at 7:10pm if train B passes the same station at 7:22pm. At what time till train B catch up with train A? Found 2 solutions by stanbon, Alan3354:Answer by stanbon(57967)   (Show Source): You can put this solution on YOUR website!trains A and B are traveling in the same direction on the parallel tracks. train A is traveling 100 miles per hour and train B is traveling at 110miles per hour. Train A passed a station at 7:10pm if train B passes the same station at 7:22pm. At what time till train B catch up with train A? ------------- Train A DATA: rate = 100 mph ; time = x hrs. ; distance = rt = 100x miles ----- Train B DATA: rate = 110 mph ; time = (x-(22/60)) hrs ; distance = 110*(x-(11/30)) miles -------------------------- Equation: distance = distance 100x = 110(30x-11)/30) (10/11)x = (30x-11)/30 Cross-multiply: 300x = 11(30x-11) 300x = 330x - 121 30x = 121 x = 121/30 hr (time for A Train) ---- Time = 7:10 + (121/30) hr Time = 7:10 + 4 hrs + 0.033333*60 min Time = 11:10 + 2 minutes Time = 11:12 pm ====================== Cheers, Stan H. Answer by Alan3354(31519)   (Show Source): You can put this solution on YOUR website! trains A and B are traveling in the same direction on the parallel tracks. train A is traveling 100 miles per hour and train B is traveling at 110miles per hour. Train A passed a station at 7:10pm if train B passes the same station at 7:22pm. At what time till train B catch up with train A? ----------------- 722 - 710 = 12 minutes = 1/5 hour Train A goes 20 miles in that time (100 mph * 1/5 hour) and it 20 miles ahead of train B at 722. Train B is gaining on train A at 10 mph (110 - 100). 20 miles/10 mph = 2 hours. 722 + 200 = 922 PM