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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 ## Walking at 60% of his usual speed a man takes... tagged by: swerve ##### This topic has 5 expert replies and 0 member replies ### Top Member ## Walking at 60% of his usual speed a man takes... Walking at 60% of his usual speed a man takes 24 minutes more to cover a distance. What is his usual time to cover this distance? A. 30 B. 36 C. 42 D. 48 E. 54 The OA is B. Please, can any expert explain this PS question for me? I can't get the correct answer. I need your help. Thanks. ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 13038 messages Followed by: 1251 members Upvotes: 5254 GMAT Score: 770 Top Reply swerve wrote: Walking at 60% of his usual speed a man takes 24 minutes more to cover a distance. What is his usual time to cover this distance? A. 30 B. 36 C. 42 D. 48 E. 54 Let's start with a WORD EQUATION: distance traveled at REGULAR speed = distance traveled at REDUCED speed distance = (rate)(time) Let R = REGULAR speed So 0.6R = REDUCED speed Let t = travel time (in minutes) at REGULAR speed So t + 24 = travel time (in minutes) at REDUCED speed Now plug this information into our WORD EQUATION to get: Rt = (0.6R)(t + 24) Divide both sides by R to get: t = (0.6)(t + 24) Rewrite 0.6 as 3/5 to get: t = (3/5)(t + 24) Expand: t = 3t/5 + 72/5 Multiply both sides by 5 to get: 5t = 3t + 72 Solve to get: t = 36 Answer: B Cheers, Brent _________________ Brent Hanneson â€“ Creator of GMATPrepNow.com Use my video course along with Sign up for free Question of the Day emails And check out all of these free resources GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMATâ€™s FREE 60-Day Study Guide and reach your target score in 2 months! ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Top Reply swerve wrote: Walking at 60% of his usual speed a man takes 24 minutes more to cover a distance. What is his usual time to cover this distance? A. 30 B. 36 C. 42 D. 48 E. 54 The OA is B. Please, can any expert explain this PS question for me? I can't get the correct answer. I need your help. Thanks. Hi Swerve. Let's take a look at your question. Let's consider the following variables: $$V_u\ -\ \text{usual}\ \text{speed}$$ $$T_u\ -\ \text{Usual}\ \text{time}$$ Hence, we have th following $$V_u\cdot T_u\ =\ 60\%\cdot V_u\cdot\left(T_u+24\right)\ \Leftrightarrow\ \ T_u=\frac{3}{5}\left(T_u+24\right)$$ $$5T_u=3T_u+72\ \Leftrightarrow\ \ \ 2T_u=72\ \ \ \Leftrightarrow\ \ \ T_u=36.$$ Therefore, the correct answer is the option B=36. I hope it helps you. I'm available if you'd like a follow-up. 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 25 May 2010 Posted: 15383 messages Followed by: 1872 members Upvotes: 13060 GMAT Score: 790 swerve wrote: Walking at 60% of his usual speed a man takes 24 minutes more to cover a distance. What is his usual time to cover this distance? A. 30 B. 36 C. 42 D. 48 E. 54 Time and rate have a RECIPROCAL RELATIONSHIP: If Amy's rate is 2 times Bob's rate, then Amy's time is 1/2 Bob's time. If Amy's rate is 3 times Bob's rate, then Amy's time is 1/3 Bob's time. Since the man is walking at 60% = 3/5 of his normal speed, he will take 5/3 of his normal time. 5/3 of his normal time implies 2/3 MORE than his normal time. Implication: 24 minutes more represents 2/3 of his normal time: 24 = (2/3)t 72 = 2t t = 36. The correct answer is B. _________________ 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 20 Jul 2017 Posted: 503 messages Followed by: 11 members Upvotes: 86 GMAT Score: 770 We know that distance = rate * time. Let's set the man's initial rate to r and his initial time to t. This gives us: distance=r*t If the man decreases his speed (the same thing as rate) by 60%, he is now walking at 0.6r. We know this causes him to walk an additional 24 minutes for the same distance, for a total of t + 24 minutes. This gives us: distance = 0.6r*(t+24) Since the distance in both equations is the same, we can set the right sides of the equations equal to each other: r*t=0.6r*(t+24) Cancelling r and simplifying gives: t=0.6t+14.4 0.4t=14.4 t=36 So the man's usual time to cover the distance is 36 minutes. _________________ Erika John - Content Manager/Lead Instructor https://gmat.prepscholar.com/gmat/s/ Get tutoring from me or another PrepScholar GMAT expert: https://gmat.prepscholar.com/gmat/s/tutoring/ Learn about our exclusive savings for BTG members (up to 25% off) and our 5 day free trial Check out our PrepScholar GMAT YouTube channel, and read our expert guides on the PrepScholar GMAT blog ### GMAT/MBA Expert GMAT Instructor Joined 09 Apr 2015 Posted: 1465 messages Followed by: 19 members Upvotes: 39 swerve wrote: Walking at 60% of his usual speed a man takes 24 minutes more to cover a distance. What is his usual time to cover this distance? A. 30 B. 36 C. 42 D. 48 E. 54 We can let r = his usual speed, t = his usual time and d = distance. Thus we have: r x t = d and 0.6r x (t + 24) = d Dividing the second equation by the first, we have: 0.6(t + 24)/t = 1 0.6t + 14.4 = t 14.4 = 0.4t t = 14.4/0.4 = 144/4 = 36 Answer: B _________________ 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 • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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