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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 ## Every day in the morning Ross cycles for 2 hours. He always tagged by: swerve ##### This topic has 3 expert replies and 0 member replies ### Top Member ## Every day in the morning Ross cycles for 2 hours. He always ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Every day in the morning Ross cycles for 2 hours. He always starts at a constant rate of 1 mile of distance in every 12 minutes. However, he takes a different path for onward and returns journey - the distance covered in the return journey is double of the distance covered in his onward journey. Also, his speed in the return journey becomes half of his original speed. What is his average speed in the whole journey? A. 3 mph B. 4 mph C. 5 mph D. 6 mph E. 7 mph The OA is A Source: e-GMAT ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15023 messages Followed by: 1859 members Upvotes: 13060 GMAT Score: 790 swerve wrote: Every day in the morning Ross cycles for 2 hours. He always starts at a constant rate of 1 mile of distance in every 12 minutes. However, he takes a different path for onward and returns journey - the distance covered in the return journey is double of the distance covered in his onward journey. Also, his speed in the return journey becomes half of his original speed. What is his average speed in the whole journey? A. 3 mph B. 4 mph C. 5 mph D. 6 mph E. 7 mph The information in red is irrelevant. Only the following facts matter: Ross travels onward at a rate of 1 mile every 12 minutes. He travels home for twice the onward distance at half the onward speed. Onward speed = 1 mile per 12 minutes = 5 miles per 60 minutes = 5 mph. Let the onward distance = 5 miles. Time to travel 5 miles onward at a rate of 5 mph = d/r = 5/5 = 1 hour. Time to travel 10 miles home at a rate of 2.5 mph = d/r = 10/2.5 = 100/25 = 4 hours. Since the total time = 1+4 = 5 hours, the average speed for the entire 15-mile trip = (total distance)/(total time) = 15/5 = 3 mph. The correct answer is A. _________________ Mitch Hunt Private Tutor for the GMAT and GRE GMATGuruNY@gmail.com If you find one of my posts helpful, please take a moment to click on the "UPVOTE" icon. Available for tutoring in NYC and long-distance. For more information, please email me at GMATGuruNY@gmail.com. Student Review #1 Student Review #2 Student Review #3 Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now. ### GMAT/MBA Expert GMAT Instructor Joined 04 Dec 2012 Posted: 1996 messages Followed by: 237 members Upvotes: 1443 You could also avoid calculation and easily estimate your way to the correct answer to save time on this problem. As Mitch demonstrated, 1 mile per 12 min --> 5 miles per hr for the first part of the trip. If Ross rides at half the speed for the return trip, then the overall average speed will certain be less than 5mph. Eliminate C, D, and E. Half the speed would be 2.5mph, and he's going twice the distance at this speed. Clearly much more of his trip was spent at 2.5mph than 5mph, so the average speed should be closer to 2.5 than 5. That eliminates B, leaving us only with A. _________________ Ceilidh Erickson Manhattan Prep GMAT & GRE instructor EdM in Mind, Brain, and Education Harvard Graduate School of Education Manhattan Prep instructors all have 99th+ percentile scores and expert teaching experience. Sign up for a FREE TRIAL, and learn why we have the highest ratings in the GMAT industry! Free Manhattan Prep online events - The first class of every online Manhattan Prep course is free. Classes start every week. ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 1806 messages Followed by: 14 members Upvotes: 43 swerve wrote: Every day in the morning Ross cycles for 2 hours. He always starts at a constant rate of 1 mile of distance in every 12 minutes. However, he takes a different path for onward and returns journey - the distance covered in the return journey is double of the distance covered in his onward journey. Also, his speed in the return journey becomes half of his original speed. What is his average speed in the whole journey? A. 3 mph B. 4 mph C. 5 mph D. 6 mph E. 7 mph If Ross cycles 1 mile every 12 minutes, then his rate is 5 miles per hour. Since he cycles 2 hours every morning, the times for the onward and return journeys are 1 hour each, and thus the distances for the onward and return journeys are 5 miles each. However, since one morning he takes a different return path that is twice the onward path, his return path is 10 miles. Furthermore, since his return speed is half his original speed, his return speed is 2.5 miles per hour. Therefore, the time for the return journey is 10/2.5 = 4 hours. Since the distance and time for the onward journey remain 5 miles and 1 hour, respectively, then his average speed for the entire journey is: (5 + 10)/(1 + 4) = 15/5 = 3 mph Answer: A _________________ Scott Woodbury-Stewart Founder and CEO • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep 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 • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • 1 Hour Free BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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