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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 Franny can type 80 words per minute and Matt can type 60... tagged by: AAPL This topic has 2 expert replies and 0 member replies Top Member Franny can type 80 words per minute and Matt can type 60... Franny can type 80 words per minute and Matt can type 60 words per minute. If the two together must type up a 14,000-word paper and each person can type for at most 2 hours, what is the least amount of time, in hours, that Matt must type? A. 2 B. 5/6 C. 11/12 D. 11/9 E. 35/9 The OA is D. Franny's efficiency = 80 words per minute = 4800 words/h Matt's efficiency = 60 words per minute = 3600 words/h Franny completes 9600 words in 2 hours and is left with 4400 words for Matt to complete. Matt will complete that in 4400/3600 = 11/9 hours. Is there another strategic approach to solve this PS question? Can any experts help, please? Thanks. GMAT/MBA Expert Legendary Member Joined 20 Jul 2017 Posted: 503 messages Followed by: 11 members Upvotes: 86 GMAT Score: 770 We could also approach using dimensional analysis. Franny: $$2\ hours\ \left(\frac{60\ \min}{1\ hour}\right)\left(\frac{80\ words}{1\ \min}\right)=9600\ words$$ Matt: $$14000\ words\ -\ 9600\ words\ =\ 4400\ words$$ $$4400\ words\ \left(\frac{1\ \min}{60\ words}\right)\left(\frac{1\ hour}{60\ \min}\right)=\frac{11}{9}hours$$ This is the same process you used, just slightly reordered and slightly more efficient. We can also eliminate E right off the bat because 35/9 is greater than 2, which violates the rule that each person can type for at most two hours. _________________ Erika John - Content Manager/Lead Instructor https://gmat.prepscholar.com/gmat/s/ Get tutoring from me or another PrepScholar GMAT expert: https://gmat.prepscholar.com/gmat/s/tutoring/ Learn about our exclusive savings for BTG members (up to 25% off) and our 5 day free trial Check out our PrepScholar GMAT YouTube channel, and read our expert guides on the PrepScholar GMAT blog GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 1847 messages Followed by: 14 members Upvotes: 43 AAPL wrote: Franny can type 80 words per minute and Matt can type 60 words per minute. If the two together must type up a 14,000-word paper and each person can type for at most 2 hours, what is the least amount of time, in hours, that Matt must type? A. 2 B. 5/6 C. 11/12 D. 11/9 E. 35/9 We are given that Franny can type 80 words per minute or 80 x 60 = 4800 words per hour. To minimize the amount of time Matt must type, we must maximize the amount of type Franny types, which is 2 hours. If she types for 2 hours (the maximum she can type), then she will have typed 4800 x 2 = 9600 words. Thus, there are 14,000 - 9600 = 4,400 words remaining for Matt to type. Since Matt can type at a rate of 60 words per minute, or 60 x 60 = 3600 words per hour, the time he will have to spend typing is: 4,400/3,600 = 44/36 = 11/9 hours Answer: D _________________ Scott Woodbury-Stewart Founder and CEO • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep 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 • FREE GMAT Exam Know how you'd score today for$0

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