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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 ## Both car A and car B set out from their original locations tagged by: swerve ##### This topic has 1 expert reply and 1 member reply ### Top Member ## Both car A and car B set out from their original locations ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Both car A and car B set out from their original locations at exactly the same time and on exactly the same route. Car A drives from Morse to Houston at an average speed of 65 miles per hour. Car B drives from Houston to Morse at 50 miles per hour, and then immediately returns to Houston at the same speed and on the same route. If car B arrives in Houston 2 hours after car A, how many hours did it take car A to make its trip? A. 0.50 B. 1.00 C. 1.25 D. 1.33 E. 2.00 The OA is C. Source: Veritas Prep ### Top Member Junior | Next Rank: 30 Posts Joined 03 Oct 2018 Posted: 10 messages Top Reply This is an algebraic problem. Decoding the given information we can arrive at the following 2 equations ... Let the time taken by A be 't1' and the distance between the two cities be 'd' Also for the sake of simplicity let the time taken by B be 't2' Therefore, since time=distance/speed t1=d/65 and t2=2d/50 We know that t2=t1+2 Hence, we can equate the first two equations and solve for d. d=1.25 ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 1649 messages Followed by: 14 members Upvotes: 43 swerve wrote: Both car A and car B set out from their original locations at exactly the same time and on exactly the same route. Car A drives from Morse to Houston at an average speed of 65 miles per hour. Car B drives from Houston to Morse at 50 miles per hour, and then immediately returns to Houston at the same speed and on the same route. If car B arrives in Houston 2 hours after car A, how many hours did it take car A to make its trip? A. 0.50 B. 1.00 C. 1.25 D. 1.33 E. 2.00 We can let the distance between Morse and Houston = d miles. So the time it takes car A to drive from Morse to Houston is d/65. Since car B arrives in Houston 2 hours after car A and it also drives double the distance, we can create the following equation for the driving time: 2d/50 = d/65 + 2 Multiplying both sides by 650, we have: 26d = 10d + 1300 16d = 1300 d = 81.25 Therefore, it takes car A 81.25/65 = 1.25 hours to make the trip from Morse to Houston. Alternate Solution: Let the time car A takes to drive from Morse to Houston be t. Since car A drives at 65 mph, the distance between Morse and Houston, in terms of t, is 65t. We are given that it takes t + 2 hours for car B to drive twice the distance between Morse and Houston; thus: 65t = [50(t + 2)]/2 130t = 50t + 100 80t = 100 t = 100/80 = 5/4 = 1.25 hours Answer: C _________________ Scott Woodbury-Stewart Founder and CEO • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • 1 Hour Free BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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