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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 ## Rhonda runs at an average speed of 12 kilometers per hour, a ##### This topic has 3 expert replies and 0 member replies ## Rhonda runs at an average speed of 12 kilometers per hour, a Rhonda runs at an average speed of 12 kilometers per hour, and she bicycles at an average speed of 30 kilometers per hour. When she bicycles to work, her travel time is 2.25 minutes less than when she runs to work. The distance to work, in kilometers, is A) 27/40 B) 3/4 C) 7/8 D) 11/12 E) 6/5 OA: B Is there a strategic approach to this question? Can any experts show? ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Hello ardz24. Let's take a look at your question. First, we have to convert the speed from kilometers per hour to kilometers per minute. V_R----Runs----- 12 km/h ------- 12km/h * 1/60 (h/min) --------1/5 km/min= 0.2 k/min. V_B---Bicycles ---- 30 km/h ------ 30km/h * 1/60 (h/min) ----- 1/2 km/min = 0.5 k/min. Now, since the distance to work is the same, When she bicycles to work, her travel time is 2.25 minutes less than when she runs to work implies that $$0.2\cdot t_R=\ 0.5\cdot t_B\ \Leftrightarrow\ \ 0.2\cdot t_R=0.5\cdot\left(t_R-2.25\right)\ \Leftrightarrow\ 0.2t_R=0.5t_R-1.125$$ $$1.125=0.3t_R\ \Leftrightarrow\ t_R=3.75.$$ Now, we can find the distance using the following equation $$d=V_R\cdot t_R=0.2\cdot3.75\ =\ 0.75=\frac{3}{4}km.$$ This is why the correct answer is the option B=3/4. I hope this answer may help 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 08 Dec 2008 Posted: 13041 messages Followed by: 1251 members Upvotes: 5254 GMAT Score: 770 ardz24 wrote: Rhonda runs at an average speed of 12 kilometers per hour, and she bicycles at an average speed of 30 kilometers per hour. When she bicycles to work, her travel time is 2.25 minutes less than when she runs to work. The distance to work, in kilometers, is A) 27/40 B) 3/4 C) 7/8 D) 11/12 E) 6/5 When Rhonda bicycles to work, her travel time is 2.25 minutes less than when she runs to work It might be useful to start with a Word Equation (Rhonda's running time in hours) = (Rhonda's cycling time in hours) + 2.25/60 hours Aside: 2.25 minutes = 2.25/60 hours travel time = distance/speed We know the running and cycling speeds, but we don't know the distance. So, let d = distance to work So, we get: d/12 = d/30 + 2.25/60 To eliminate the fractions, multiply both sides by 60 (the LCM of 12, 30 and 60) We get: 5d = 2d + 2.25 Subtract 2d from both sides: 3d = 2.25 Solve: d = 2.25/3 Check answer choices . . . not there. Looks like we need to rewrite 2.25/3 as an equivalent fraction. If we take 2.25/3, and multiply top and bottom by 4 we get: 9/12, which is the same as 3/4 Answer: B Cheers, Brent _________________ Brent Hanneson – 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 GMAT’s FREE 60-Day Study Guide and reach your target score in 2 months! ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2950 messages Followed by: 19 members Upvotes: 43 BTGmoderatorAT wrote: Rhonda runs at an average speed of 12 kilometers per hour, and she bicycles at an average speed of 30 kilometers per hour. When she bicycles to work, her travel time is 2.25 minutes less than when she runs to work. The distance to work, in kilometers, is A) 27/40 B) 3/4 C) 7/8 D) 11/12 E) 6/5 We are given that Rhonda runs at an average speed of 12 kilometers per hour and bicycles at an average speed of 30 kilometers per hour. We are also given that when she bicycles to work, her travel time is 2.25 minutes less than when she runs to work. Since she runs and bicycles the same distance, we can let her distance from home to work = d. Since time = distance/rate, her time running to work is d/12 and her time bicycling to work is d/30. We also need to convert 2.25 minutes to hours. 2.25 minutes = 2.25/60 = 9/240 = 3/80 hour We can create the following equation and determine d: d/12 = 3/80 + d/30 Multiplying the entire equation by 240, we have: 20d = 9 + 8d 12d = 9 d = 9/12 = 3/4 Answer: B • 5-Day Free Trial 5-day free, full-access trial TTP Quant 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 Study Smarter, Not Harder Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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