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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 ## Dwight and Mose decide to build a new barn on their farm, ##### This topic has 2 expert replies and 0 member replies ### Top Member ## Dwight and Mose decide to build a new barn on their farm, ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Dwight and Mose decide to build a new barn on their farm, and they begin to work in alternating shifts, with Dwight taking the first shift. During each of his shifts, Dwight does 1/4 of the remaining work. During each of his shifts, Mose does 1/6 of the remaining work. How much of the barn is left to finish when Mose begins his third shift? A. 1/24 B. 5/36 C. 25/72 D. 75/256 E. 255/512 OA D Source: Veritas Prep ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2852 messages Followed by: 18 members Upvotes: 43 Top Reply BTGmoderatorDC wrote: Dwight and Mose decide to build a new barn on their farm, and they begin to work in alternating shifts, with Dwight taking the first shift. During each of his shifts, Dwight does 1/4 of the remaining work. During each of his shifts, Mose does 1/6 of the remaining work. How much of the barn is left to finish when Mose begins his third shift? A. 1/24 B. 5/36 C. 25/72 D. 75/256 E. 255/512 OA D Source: Veritas Prep The best way to solve this problem is to keep track of the fraction of the barn that still needs to be completed after each of their shifts: Dwightâ€™s 1st shift: 1/4 â†' Fraction of the barn still needs to be completed: 3/4 Moseâ€™s 1st shift: 1/6(3/4) = 1/8 â†' Fraction of the barn still needs to be completed: 5/6(3/4) = 5/8 Dwightâ€™s 2nd shift: 1/4(5/8) = 5/32 â†' Fraction of the barn still needs to be completed: 3/4(5/8) = 15/32 Moseâ€™s 2nd shift: 1/6(15/32) = 5/64 â†' Fraction of the barn still needs to be completed: 5/6(15/32) = 25/64 Dwightâ€™s 3rd shift: 1/4(25/64) = 25/256 â†' Fraction of the barn still needs to be completed: 3/4(25/64) = 75/256 We can see that before Mose begins his 3rd shift, 75/256 of the barn still needs to be completed. Answer: D _________________ Scott Woodbury-Stewart Founder and CEO scott@targettestprep.com See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15362 messages Followed by: 1866 members Upvotes: 13060 GMAT Score: 790 Top Reply BTGmoderatorDC wrote: Dwight and Mose decide to build a new barn on their farm, and they begin to work in alternating shifts, with Dwight taking the first shift. During each of his shifts, Dwight does 1/4 of the remaining work. During each of his shifts, Mose does 1/6 of the remaining work. How much of the barn is left to finish when Mose begins his third shift? A. 1/24 B. 5/36 C. 25/72 D. 75/256 E. 255/512 Every time Dwight does 1/4 of the remaining work, 3/4 of the work remains. Every time Mose does 1/6 of the remaining work, 5/6 of the work remains. When Mose starts his third shift, Dwight has completed 3 shifts, while Mose has completed 2 shifts. Thus, the remaining work at the start of Mose's third shift = (3/4)(3/4)(3/4)(5/6)(5/6) = 75/256. 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. • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • 1 Hour Free BEAT THE GMAT EXCLUSIVE 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 • Award-winning private GMAT tutoring Register now and save up to$200

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