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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 ## Steve traveled the first 2 hours of his journey... tagged by: BTGmoderatorLU ##### This topic has 4 expert replies and 0 member replies ### Top Member ## Steve traveled the first 2 hours of his journey... Steve traveled the first 2 hours of his journey at 40 mph and the remaining 3 hours of his journey at 80 mph. What is his average speed for the entire journey? A. 60 mph B. 56.67 mph C. 53.33 mph D. 64 mph E. 66.67 mph The OA is D. I'm confused by this PS question. Experts, any suggestion, please? Thanks in advance. ### GMAT/MBA Expert Senior | Next Rank: 100 Posts Joined 16 Dec 2014 Posted: 94 messages Followed by: 4 members Upvotes: 2 GMAT Score: 770 Top Reply LUANDATO wrote: Steve traveled the first 2 hours of his journey at 40 mph and the remaining 3 hours of his journey at 80 mph. What is his average speed for the entire journey? A. 60 mph B. 56.67 mph C. 53.33 mph D. 64 mph E. 66.67 mph The OA is D. I'm confused by this PS question. Experts, any suggestion, please? Thanks in advance. Speed = Distance/Time OR Distance = Speed * Time Part 1: D1 = 40*2 = 80 Part 2: D2 = 80*3 = 240 Total Distance = D1 + D2 = 80 + 240 = 320 Total Time = 2 + 3 = 5 Speed = 320/5 = 64 mph Answer is D ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15342 messages Followed by: 1864 members Upvotes: 13060 GMAT Score: 790 LUANDATO wrote: Steve traveled the first 2 hours of his journey at 40 mph and the remaining 3 hours of his journey at 80 mph. What is his average speed for the entire journey? A. 60 mph B. 56.67 mph C. 53.33 mph D. 64 mph E. 66.67 mph 2 hours are spent at 40mph. 3 hours are spent at 80mph. Average speed for all 5 hours = (2*40 + 3*80)/5 = 320/5 = 64. The correct answer is D. _________________ 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 Legendary Member Joined 14 Jan 2015 Posted: 2667 messages Followed by: 122 members Upvotes: 1153 GMAT Score: 770 LUANDATO wrote: Steve traveled the first 2 hours of his journey at 40 mph and the remaining 3 hours of his journey at 80 mph. What is his average speed for the entire journey? A. 60 mph B. 56.67 mph C. 53.33 mph D. 64 mph E. 66.67 mph The OA is D. I'm confused by this PS question. Experts, any suggestion, please? Thanks in advance. Mitch's and Dan's approach is probably simplest. But here's a fun alternative: If Steve had spent the same amount of time traveling at each speed, his average would have been right in the middle of 40 and 80, or 60mph. We know he spent more time traveling at the faster speed, and thus, his average must be more than 60. That leaves us D and E. Now we can test one of the two remaining choices and see if we get a 3:2 ratio in favor of time spent traveling at 80mph. Test D: 64 Plot the rates on a number line: 40-----------------64-----------80 Gaps:-------24----------16-------- Ratio of time spent at 80 mph to 40 mph: 24:16 = 3:2. And we've got our answer. _________________ Veritas Prep | GMAT Instructor Veritas Prep Reviews Save$100 off any live Veritas Prep GMAT Course

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### GMAT/MBA Expert

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BTGmoderatorLU wrote:
Steve traveled the first 2 hours of his journey at 40 mph and the remaining 3 hours of his journey at 80 mph. What is his average speed for the entire journey?

A. 60 mph
B. 56.67 mph
C. 53.33 mph
D. 64 mph
E. 66.67 mph

Steveâ€™s total distance was 2 x 40 + 3 x 80 = 80 + 240 = 320 miles.

We can now determine average speed:

Average speed = (total distance)/(total time)

Average speed = 320/5 = 64 mph

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Scott Woodbury-Stewart
Founder and CEO
scott@targettestprep.com

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