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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## Train A and B, 455 miles apart, are traveling toward... tagged by: swerve ##### This topic has 1 expert reply and 0 member replies ### Top Member ## Train A and B, 455 miles apart, are traveling toward... Train A and B, 455 miles apart, are traveling toward each other at constant rates and in the same time zone. If train A left at 4 pm traveling at a speed of 60 miles per hour, and train B left at 5:45 pm and traveling at 45 miles per hour, then at what time would they pass each other? A. 7:20 pm B. 8:55 pm C. 9:05 pm D. 9:20 pm E. 9:25 pm The OA is C. Please, can any expert explain this PS question for me? I tried to solve it but I can't get the correct answer and I would like to know how to solve it in less than 2 minutes. I need your help. Thanks. ### GMAT/MBA Expert Legendary Member Joined 14 Jan 2015 Posted: 2667 messages Followed by: 122 members Upvotes: 1153 GMAT Score: 770 Top Reply swerve wrote: Train A and B, 455 miles apart, are traveling toward each other at constant rates and in the same time zone. If train A left at 4 pm traveling at a speed of 60 miles per hour, and train B left at 5:45 pm and traveling at 45 miles per hour, then at what time would they pass each other? A. 7:20 pm B. 8:55 pm C. 9:05 pm D. 9:20 pm E. 9:25 pm The OA is C. Please, can any expert explain this PS question for me? I tried to solve it but I can't get the correct answer and I would like to know how to solve it in less than 2 minutes. I need your help. Thanks. If train A travels for t hours at 60 mph, it will cover 60t miles. If train B leaves 1 hour 45 min, or 1 3/4 = 7/4 hours after train A, then it will travel for 7/4 hours less than A does, or t - 7/4. If B travels at 45 mph for t -7/4 hours, it will cover 45(t - 7/4) miles Together they cover 455 miles, so 60t + 45(t - 7/4) = 455. 60t + 45t - 45 *(7/4) = 455 105t = 455 + 45 *(7/4) ---> multiply through by 4 to get: 420t = 1820 + 45 * 7 420t = 1820 + 315 420t = 2135 ---> divide numerator and denominator by 7 to get: 60t = 305 t = 305/60 = 5 + 5/60, or 5 hours and 5 minutes. 5 hours and 5 minutes after 4 pm would be 9:05PM. The answer is C _________________ Veritas Prep | GMAT Instructor Veritas Prep Reviews Save$100 off any live Veritas Prep GMAT Course

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