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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 ## Time and work tagged by: rawat2583 ##### This topic has 1 expert reply and 0 member replies ### Top Member ## Time and work ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult The minutes that it takes machine A to print n pages alone is half the minute that it takes machine B to print n pages alone. If machine A and machine B print n pages in 3 minutes when working together at their constant rates, respectively, in how many minutes machine B prints n pages alone? A. 3.2 min B. 3.6 min C. 4.0 min D. 4.5 min E. 9.0 min ### GMAT/MBA Expert GMAT Instructor Joined 02 Jun 2008 Posted: 2475 messages Followed by: 350 members Upvotes: 1090 GMAT Score: 780 rawat2583 wrote: The minutes that it takes machine A to print n pages alone is half the minute that it takes machine B to print n pages alone. If machine A and machine B print n pages in 3 minutes when working together at their constant rates, respectively, in how many minutes machine B prints n pages alone? A. 3.2 min B. 3.6 min C. 4.0 min D. 4.5 min E. 9.0 min You can do this mathematically - if you suppose it takes t minutes for A to print n pages, you can then get the same time for each machine: A prints 2n pages in 2t minutes B prints n pages in 2t minutes so A+B together print 3n pages in 2t minutes and A+B together print n pages in 2t/3 minutes Since 2t/3 = 3 , we have 2t = 9, and the question asked us to find B's time, which is 2t. But we can avoid all that work -- only one answer choice makes any sense. If working together they need 3 minutes to print n pages, then alone, each of them of course takes longer than 3 minutes. Since B takes twice as long as A, if A takes more than 3 minutes, B takes more than 6 minutes, so only answer E could be right. _________________ If you are looking for online GMAT math tutoring, or if you are interested in buying my advanced Quant books and problem sets, please contact me at ianstewartgmat at gmail.com • 1 Hour Free BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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