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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 ## A foot race had 36 teams of a dozen runners each... tagged by: BTGmoderatorLU ##### This topic has 2 expert replies and 0 member replies ### Top Member ## A foot race had 36 teams of a dozen runners each... A foot race had 36 teams of a dozen runners each. By noon, 4/9 of the teams had finished the race, and 70 percent of the remaining teams finished the race by one o' clock. How many teams had not finished the race by one o' clock? A. 1 B. 2 C. 4 D. 6 E. 8 The OA is D. I don't understand why D is the correct answer. Can any expert explain this PS question please? Thanks. ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15387 messages Followed by: 1872 members Upvotes: 13060 GMAT Score: 790 LUANDATO wrote: A foot race had 36 teams of a dozen runners each. By noon, 4/9 of the teams had finished the race, and 70 percent of the remaining teams finished the race by one o' clock. How many teams had not finished the race by one o' clock? A. 1 B. 2 C. 4 D. 6 E. 8 Since 4/9 of the 36 teams finished by noon, the number of teams finished by noon = (4/9)(36) = 16. Remaining teams = (total teams in the race) - (teams finished by noon) = 36-16 = 20. Since 70% of the 20 remaining teams finished by 1pm, the number of teams finished between noon and 1pm = (70/100)(20) = 14. Thus: Number of teams not finished by 1pm = (total teams in the race) - (teams finished by noon) - (teams finished between noon and 1pm) = 36 - 16 - 14 = 6. 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 GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Quote: A foot race had 36 teams of a dozen runners each. By noon, 4/9 of the teams had finished the race, and 70 percent of the remaining teams finished the race by one o' clock. How many teams had not finished the race by one o' clock? A. 1 B. 2 C. 4 D. 6 E. 8 The OA is D. I don't understand why D is the correct answer. Can any expert explain this PS question please? Thanks. Hi LUANDATO, Lets take a look at your question. Total teams = 36 The question states that "By noon, 4/9 of the teams had finished the race". Let's find the number of teams that finished the race by noon. $$=36\times\frac{4}{9}=4\times4=16$$ 16 teams had finished the race by noon. Remaining Teams = 36 - 16 = 20 Next , the question states that " 70 percent of the remaining teams finished the race by one o' clock." Let's find the number of teams that finished the race by one o' clock. $$=20\times70\%$$ $$=20\times\frac{70}{100}$$ $$=2\times7=14$$ 14 teams finished the race by one o' clock. We need to find the number of teams that had not finished the race by one o' clock. $$20\ -\ 14\ =\ 6$$ It means, 6 teams had not finished the race by one o' clock. Therefore, Option D is correct. Hope this helps. I am available if you'd like any follow up. _________________ 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. • 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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