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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 ## Work/Rate tagged by: piyush2694 ##### This topic has 1 expert reply and 0 member replies ## Work/Rate ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Last Thursday, John assembled chairs at a rate of 3 chairs per hour for part o f the day and Larry assembled no chairs. Last Friday, Larry assembled chairs at a rate of 4 chairs per hour for part of the day and John assembled no chairs. If John and Larry assembled chairs for a total of 7 hours during these two days, how many chairs did John assemble last Thursday? (1) During these two days, John and Larry assembled a total of 25 chairs. (2) During these two days, Larry assembled more chairs than John did. ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15362 messages Followed by: 1866 members Upvotes: 13060 GMAT Score: 790 piyush2694 wrote: Last Thursday, John assembled chairs at a rate of 3 chairs per hour for part o f the day and Larry assembled no chairs. Last Friday, Larry assembled chairs at a rate of 4 chairs per hour for part of the day and John assembled no chairs. If John and Larry assembled chairs for a total of 7 hours during these two days, how many chairs did John assemble last Thursday? (1) During these two days, John and Larry assembled a total of 25 chairs. (2) During these two days, Larry assembled more chairs than John did. Let J = the number of hours that John works. Since John assembles 3 chairs per hour, the number of chairs assembled by John = 3J. Let L = the number of hours that Larry works. Since Larry assembles 4 chairs per hour, the number of chairs assembled by Larry = 4L. Since John and Larry work a total of 7 hours, J+L = 7. Statement 1: 3J + 4L = 25. Since we have 2 variables (J and L) and two linear equations (J+L=7 and 3J+4L=25), we can solve for the 2 variables, allowing us to determine the number of chairs assembled by John. SUFFICIENT. Statement 2: Case 1: J=3 and L=4, with the result that the number of chairs assembled by John = 3J = 3*3 = 9 and that the number of chairs assembled by Larry = 4J = 4*4 = 16 Case 2: J=2 and L=5, with the result that the number of chairs assembled by John = 3J = 3*2 = 6 and that the number of chairs assembled by Larry = 4J = 4*5 = 20 Since the number of chairs assembled by John can be different values, INSUFFICIENT. The correct answer is A. _________________ 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 • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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