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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 Jim drives k miles in 50 minutes, how many minutes will tagged by: BTGmoderatorLU ##### This topic has 3 expert replies and 0 member replies ### Top Member ## If Jim drives k miles in 50 minutes, how many minutes will ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Source: Princeton Review If Jim drives k miles in 50 minutes, how many minutes will it take him to drive 10 miles, at the same rate? A. 500/k B. k/500 C. 60k D. 10k E. 50/k The OA is A. ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10106 messages Followed by: 494 members Upvotes: 2867 GMAT Score: 800 Hi All, We're told that Jim drives K miles in 50 MINUTES. We're asked how many MINUTES it will take him to drive 10 miles at the same rate. This question can be solved rather easily by TESTing VALUES. Since K can be any positive value, we can set K = 10. Thus, we know that Jim drives 10 miles in 50 minutes. The question asks how minutes Jim drives 10 miles.... so the answer is 50. Thus, we're looking for an answer that equals 50 when K=10. Only one answer matches... Final Answer: A GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com ### GMAT/MBA Expert GMAT Instructor Joined 09 Oct 2010 Posted: 1429 messages Followed by: 31 members Upvotes: 59 BTGmoderatorLU wrote: Source: Princeton Review If Jim drives k miles in 50 minutes, how many minutes will it take him to drive 10 miles, at the same rate? A. 500/k B. k/500 C. 60k D. 10k E. 50/k $k\,\,{\text{miles}}\,\,\,\, \leftrightarrow \,\,\,\,{\text{50}}\,\,{\text{minutes}}\,\,\,\,\,\,\,{\text{;}}\,\,\,\,\,\,\,\,{\text{10}}\,\,{\text{miles}}\,\,\,\, \leftrightarrow \,\,\,\,{\text{?}}\,\,{\text{minutes}}$ This is a (direct) proportional problem, therefore a 10-year-child would probably do it (correctly) like that: $\frac{?}{{50}} = \frac{{10}}{k}\,\,\,\,\, \Rightarrow \,\,\,\,\,? = \frac{{500}}{k}$ On the other hand, this is a trivial scenario for UNITS CONTROL, one of the most powerful tools of our method: $?\,\,\, = \,\,\,10\,\,{\text{miles}}\,\,\,\left( {\frac{{50\,\,{\text{minutes}}}}{{k\,\,{\text{miles}}}}\begin{array}{*{20}{c}} \nearrow \\ \nearrow \end{array}} \right)\,\,\,\, = \,\,\,\,\frac{{500}}{k}\,\,\,\,\left[ {{\text{minutes}}} \right]$ Obs.: arrows indicate licit converter. This solution follows the notations and rationale taught in the GMATH method. Regards, Fabio. _________________ Fabio Skilnik :: GMATH method creator ( Math for the GMAT) English-speakers :: https://www.gmath.net Portuguese-speakers :: https://www.gmath.com.br ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2204 messages Followed by: 17 members Upvotes: 43 BTGmoderatorLU wrote: Source: Princeton Review If Jim drives k miles in 50 minutes, how many minutes will it take him to drive 10 miles, at the same rate? A. 500/k B. k/500 C. 60k D. 10k E. 50/k Since rate = distance/time, Jim’s rate is k/50. We need to determine how many minutes it will take Jim to drive 10 miles. time = distance/rate time = 10/(k/50) = 10 x (50/k) = 500/k Alternate Solution: Letting x = the number of minutes it takes Jim to drive 10 miles, we can create the proportion: k/50 = 10/x kx = 500 x = 500/k Answer: A _________________ Scott Woodbury-Stewart Founder and CEO • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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