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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 ## Car X and Car Y traveled the same 80-mile route. If Car X tagged by: M7MBA ##### This topic has 3 expert replies and 0 member replies ### Top Member ## Car X and Car Y traveled the same 80-mile route. If Car X Car X and Car Y traveled the same 80-mile route. If Car X took 2 hours and Car Y traveled at an average speed that was 50 percent faster than the average speed of Car X, how many hours did it take Car Y to travel the route? (A) 2/3 (B) 1 (C) 4/3 (D) 8/5 (E) 3 The OA is the option C. Experts, what is the equation that helps me to solve this PS question? Can you give me some help? Please. ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Top Reply Quote: Car X and Car Y traveled the same 80-mile route. If Car X took 2 hours and Car Y traveled at an average speed that was 50 percent faster than the average speed of Car X, how many hours did it take Car Y to travel the route? (A) 2/3 (B) 1 (C) 4/3 (D) 8/5 (E) 3 The OA is the option C. Hi M7MBA, Let's take a look at your question. Car X traveled 80 miles in 2 hours. $$Speed\ =\ \frac{Distance}{Time}$$ $$Speed\ =\ \frac{80}{2}=40 miles/hr\$$ Car Y traveled at an average speed that was 50 percent faster than the average speed of Car X. 50% of 40 = (50/100)*40 = 20 Therefore, Speed of Car Y = 40 + 20 = 60 miles/hr Time taken by Car Y to cover 80 miles at a speed of 60 miles/hr can be calculated as: $$Time\ =\ \frac{Distance}{Speed}$$ $$Time\ =\frac{80}{60}=\frac{4}{3}$$ Therefore, Option C is correct. Hope it helps. I am available if you'd like any follow up. _________________ GMAT Prep From The Economist We offer 70+ point score improvement money back guarantee. Our average student improves 98 points. Free 7-Day Test Prep with Economist GMAT Tutor - Receive free access to the top-rated GMAT prep course including a 1-on-1 strategy session, 2 full-length tests, and 5 ask-a-tutor messages. Get started now. ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10197 messages Followed by: 497 members Upvotes: 2867 GMAT Score: 800 Hi M7MBA, We're told that Car X and Car Y traveled the same 80-mile route, Car X took 2 hours and Car Y traveled at an average speed that was 50 percent faster than the average speed of Car X. We're asked for the number of hours it took Car Y to travel the route. With a few standard 'math steps', you can answer this question without too much difficulty. To start, we can calculate Car X's speed using the Distance Formula: Distance = (Rate)(Time) 80 miles = (Rate)(2 hours) 80/2 = Rate Rate = 40 miles/hour Since Car Y's speed was 50% GREATER than Car X's speed, we can now calculate that speed: (1.5)(40 miles/hour) = 60 miles/hour Using that speed, we can calculate how long it took Car Y to travel that same distance: Distance = (Rate)(Time) 80 miles = (60 miles/hour)(Time) 80/60 = Time Time = 80/60 = 8/6 = 4/3 hours 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 09 Apr 2015 Posted: 1465 messages Followed by: 19 members Upvotes: 39 M7MBA wrote: Car X and Car Y traveled the same 80-mile route. If Car X took 2 hours and Car Y traveled at an average speed that was 50 percent faster than the average speed of Car X, how many hours did it take Car Y to travel the route? (A) 2/3 (B) 1 (C) 4/3 (D) 8/5 (E) 3 We are given that Car X traveled 80 miles in 2 hours. Thus, the rate of Car X was 80/2 = 40 mph. We are also given that Car Y traveled 50% faster than Car X. Thus, Car Y traveled at a rate of 1.5 x 40 = 60 mph. So, it took Car Y 80/60 = 8/6 = 4/3 hours to travel the same route. Answer:C _________________ Jeffrey Miller Head of GMAT Instruction jeff@targettestprep.com See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • 1 Hour Free BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Free Veritas GMAT Class Experience Lesson 1 Live Free 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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