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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 Matt and Peter can do together a piece of work in 20 days... tagged by: swerve This topic has 1 expert reply and 1 member reply Top Member Matt and Peter can do together a piece of work in 20 days... Matt and Peter can do together a piece of work in 20 days. After they have worked together for 12 days Matt stops and Peter completes the remaining work in 10 days. In how many days Peter complete the work separately ? A. 26 days B. 27 days C. 23 days D. 25 days E. 24 days The OA is D. Please, can any expert explain this PS question for me? I have many difficulties to understand why that is the correct answer. Thanks. GMAT/MBA Expert GMAT Instructor Joined 22 Aug 2016 Posted: 2019 messages Followed by: 31 members Upvotes: 470 swerve wrote: Matt and Peter can do together a piece of work in 20 days. After they have worked together for 12 days Matt stops and Peter completes the remaining work in 10 days. In how many days Peter complete the work separately ? A. 26 days B. 27 days C. 23 days D. 25 days E. 24 days The OA is D. Please, can any expert explain this PS question for me? I have many difficulties to understand why that is the correct answer. Thanks. Say Matt alone completes the work in m day, and Peter alone completes the work in p day. Thus, Matt's one day work = 1/m and Peter's one day work = 1/p => One day work of Matt and Peter = 1/m + 1/p = 1/20 12-day work of Matt and Peter = 12/20 = 3/5 Work remaining = 1 - 3/5 = 2/5 We know that Peter alone does the 2/5th of work in 10 days, thus 10/p = 2/5 => p = 25 days. The correct answer: D Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: Stamford | Istanbul | Evanston | Seoul | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here. Master | Next Rank: 500 Posts Joined 29 Nov 2017 Posted: 100 messages Upvotes: 14 swerve wrote: Matt and Peter can do together a piece of work in 20 days. After they have worked together for 12 days Matt stops and Peter completes the remaining work in 10 days. In how many days Peter complete the work separately ? A. 26 days B. 27 days C. 23 days D. 25 days E. 24 days The OA is D. Please, can any expert explain this PS question for me? I have many difficulties to understand why that is the correct answer. Thanks. Both can finish the one work in 20 days means their one days work is 1/20th work in 12 days together they will complete 12/20=3/5 th work remaining is 1-(3/5) = 2/5 th work this 2/5 th work Peter completes in 10 days therefore Peter would do the complete work in 10*(5/2) =25 days Hence D is the correct option • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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