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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 ## If the speed of X meters per second is equivalent to the ##### This topic has 3 expert replies and 0 member replies ### Top Member ## If the speed of X meters per second is equivalent to the ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult If the speed of X meters per second is equivalent to the speed of Y kilometers per hour, what is Y in terms of X? (1 kilometer=1000 meters) A. 5x/18 B. 6x/5 C. 18x/5 D. 60x E. 3600000x OA C Source: GMAT Prep ### GMAT/MBA Expert GMAT Instructor Joined 09 Apr 2015 Posted: 1461 messages Followed by: 17 members Upvotes: 39 Top Reply BTGmoderatorDC wrote: If the speed of X meters per second is equivalent to the speed of Y kilometers per hour, what is Y in terms of X? (1 kilometer=1000 meters) A. 5x/18 B. 6x/5 C. 18x/5 D. 60x E. 3600000x There are 3,600 seconds in an hour and 1,000 meters in a kilometer. So, letâ€™s convert y kilometers/hour to meters/second: We can start by converting y kilometers to meters. y kilometers = 1,000y meters Next we can convert 1 hour to seconds. 1 hour = 3,600 seconds Thus, y km/hr can be expressed as 1,000y/3,600 m/sec, or 5y/18 m/sec, after itâ€™s simplified. Since our two rates are equal, x = 5y/18. We need to solve this equation for y. 18x = 5y 18x/5 = y Answer: C _________________ Jeffrey Miller Head of GMAT Instruction ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12563 messages Followed by: 1245 members Upvotes: 5254 GMAT Score: 770 Top Reply BTGmoderatorDC wrote: If the speed of X meters per second is equivalent to the speed of Y kilometers per hour, what is Y in terms of X? (1 kilometer=1000 meters) A. 5x/18 B. 6x/5 C. 18x/5 D. 60x E. 3600000x We want to convert meters per second to kilometers per hour First, since 1 kilometer = 1000 meters, we can also say that 1 kilometer/1000 meters = 1 Second, since 3600 seconds = 1 hour, we can also say that 3600 seconds/1 hour = 1 This means that multiplying a value by 1 kilometer/1000 meters is the SAME AS multiplying that same value by 1. Likewise, multiplying a value by 3600 seconds/1 hour is the SAME AS multiplying that same value by 1. So, x meters/second = x (meters/second)(1)(1) = x (meters/second)(1 kilometer/1000 meters)(3600 seconds/1 hour) = x (3600/1000)(kilometers/hour) [after all of the "unwanted" units cancel out] = x (18/5)(kilometers/hour) = 18x/5 kilometers/hour = C Cheers, Brent _________________ Brent Hanneson â€“ Creator of GMATPrepNow.com Use our video course along with Sign up for our free Question of the Day emails And check out all of our 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 25 May 2010 Posted: 15029 messages Followed by: 1859 members Upvotes: 13060 GMAT Score: 790 BTGmoderatorDC wrote: If the speed of X meters per second is equivalent to the speed of Y kilometers per hour, what is Y in terms of X? (1 kilometer=1000 meters) A. 5x/18 B. 6x/5 C. 18x/5 D. 60x E. 3600000x Plug in for x a value that is easy to convert from meters to kilometers. Let x = 1000 meters per second. Since 1000 meters = 1 kilometer, this rate = 1 kilometer per second. Since there are 3600 seconds in an hour, 1 kilometer per second = 3600 kilometers per hour. Thus, y = 3600. This is our target. Now plug x = 1000 into the answer choices to see which yields our target of 3600. Only C works: 18x/5 = (18*1000)/5 = 3600. The correct answer is C. _________________ 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. • 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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