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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 ##### This topic has 2 expert replies 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 OA C Source: Veritas Prep ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10133 messages Followed by: 494 members Upvotes: 2867 GMAT Score: 800 Top Reply Hi All, We're told that 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 and 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, arriving in Houston 2 hours after car A. We're asked how many hours it took car A to make its trip. This question can be solved in a couple of different ways, including by TESTing THE ANSWERS. Let's TEST Answer B first... Answer B: 1 hour If Car A travels for 1 hour, then it travels (1)(65) = 65 miles, meaning that the distance between the two cities is 65 miles. Car B would have to travel 65+65 = 130 miles at 50 miles/hour. 130 miles = (50 mph)(T hours) 130/50 = T 2.6 hours = T This is 2.6 - 1 = 1.6 hours after Car A arrived, but this is NOT a match for what we were told (it's relatively close, but it's supposed to be a 2 hour difference). Thus, we need the distance between the cities to be LARGER (but not too much larger). Answer C: 1.25 hours If Car A travels for 1.25 hours = 5/4 hours, then it travels (5/4)(65) = 325/4 = 81.25 miles, meaning that the distance between the two cities is 81.25 miles. Car B would have to travel 81.25 + 81.25 = 162.5 miles at 50 miles/hour. 162.5 miles = (50 mph)(T hours) 162.5/50 = T 3.25 hours = T The difference is 3.25 - 1.25 = 2 hours. This is an exact match for what we were told, so this must be the answer. Final Answer: C GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2456 messages Followed by: 18 members Upvotes: 43 Top Reply BTGmoderatorDC 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: 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 scott@targettestprep.com See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews Junior | Next Rank: 30 Posts Joined 07 May 2018 Posted: 25 messages Target GMAT Score: 730 GMAT Score: 610 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 • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • 1 Hour Free BEAT THE GMAT EXCLUSIVE 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 • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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