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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 ## A farm used two harvesting machines, H and K, to harvest 100 tagged by: AAPL ##### This topic has 2 expert replies and 0 member replies ### Top Member ## A farm used two harvesting machines, H and K, to harvest 100 ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult GMAT Prep A farm used two harvesting machines, H and K, to harvest 100 acres of wheat. Harvesting machine H, working alone at its constant rate, harvested 40 acres of wheat in 8 hours. Then harvesting machine K was brought in, and harvesting machines H and K, working together at their respective constant rates, harvested the remaining acres of wheat in 5 hours. Harvesting machine K harvested how many acres of wheat per hour? A. 7 B. 8 C. 12 D. 13 E. 15 OA A. ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10124 messages Followed by: 494 members Upvotes: 2867 GMAT Score: 800 Hi All, We're told that a farm used two harvesting Machines, H and K, to harvest 100 acres of wheat. Harvesting Machine H, working alone at its constant rate, harvested 40 acres of wheat in 8 hours. Then harvesting Machine K was brought in, and harvesting Machines H and K, working together at their respective constant rates, harvested the remaining acres of wheat in 5 hours. We're asked for Machine K's harvesting rate in acres of wheat per hour. While this question is wordy, it just comes down to some basic note-taking and Arithmetic. Since Machine H harvested 40 acres in 8 hours, we know that H's harvesting rate is 40/8 = 5 acres/hour Machine H and Machine K then harvested together for 5 hours: Machine H harvested (5)(5 acres/hour) = 25 acres In total, Machine H harvested 40+25 = 65 of the 100 total acres, which leaves 35 acres for Machine K to harvest over those 5 hours. Machine K = 35 acres/5 hours = 7 acres/hour Final Answer: A GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2424 messages Followed by: 18 members Upvotes: 43 AAPL wrote: GMAT Prep A farm used two harvesting machines, H and K, to harvest 100 acres of wheat. Harvesting machine H, working alone at its constant rate, harvested 40 acres of wheat in 8 hours. Then harvesting machine K was brought in, and harvesting machines H and K, working together at their respective constant rates, harvested the remaining acres of wheat in 5 hours. Harvesting machine K harvested how many acres of wheat per hour? A. 7 B. 8 C. 12 D. 13 E. 15 The rate of harvesting machine H is 40/8 = 5 acres per hour. We can let the rate of harvesting machine K = k acres per hour. Thus, the combined rate of machines K and H is 5 + k, and we are given that they harvest 60 acres in 5 hours; thus: (5 + k) x 5 = 60 5 + k = 12 k = 7 Answer: A _________________ 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 • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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