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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 ## An athlete runs R miles in H hours... tagged by: BTGmoderatorLU ##### This topic has 3 expert replies and 0 member replies ### Top Member ## An athlete runs R miles in H hours... An athlete runs R miles in H hours, then rides a bike Q miles in the same number of hours. Which of the following represents the average speed, in miles per hour, for these two activities combined? (A) (R-Q)/H (B) (R-Q)/2H (C) [2(R+Q)]/H (D) [2(R+Q)]/2H (E) (R+Q)/2H The OA is E. I'm confused with this PS question. Experts, any suggestion? I'm not sure about how can I solve. I know that the average speed should be, total distance/total time, right? Thanks in advance. ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Hello LUANDATO. Let's take a look at your question. R miles in H hours implies R/H miles per hour. Q miles in H hours implies Q/H miles per hour. Then, the combined average speed is equal to $$\frac{\frac{R}{H}+\frac{Q}{H}}{2}=\frac{R+Q}{2H}.$$ This is why the correct answer is the option E. I hope this explanation can help you. Feel free to ask me again if you have a doubt. Regards. _________________ 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 GMAT Instructor Joined 09 Apr 2015 Posted: 1465 messages Followed by: 19 members Upvotes: 39 LUANDATO wrote: An athlete runs R miles in H hours, then rides a bike Q miles in the same number of hours. Which of the following represents the average speed, in miles per hour, for these two activities combined? (A) (R-Q)/H (B) (R-Q)/2H (C) [2(R+Q)]/H (D) [2(R+Q)]/2H (E) (R+Q)/2H We need to determine average speed: average speed = total distance/total time average = (R + Q)/(H + H) = (R + Q)/2H Answer: E _________________ 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 ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10197 messages Followed by: 497 members Upvotes: 2867 GMAT Score: 800 Hi LUANDATO, As far as story problems go, this one is fairly easy from a "logic" standpoint. You can also solve it by TESTing VALUES. R = 4 H = 2 Q = 6 So the athlete runs 4 miles in 2 hours, then bikes 6 miles in another 2 hours. Total Distance = 4+6 = 10 miles Total Time = 2+2 = 4 hours Average speed = 10/4 = 2.5 miles/hr. Plugging these values into the answer choices gives us just one match... Final Answer: E GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • 1 Hour Free BEAT THE GMAT EXCLUSIVE 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 GMAT Exam Know how you'd score today for$0

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