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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 ## Peter and Jacob are at the northwest corner of a field... tagged by: AAPL ##### This topic has 1 expert reply and 0 member replies ### Top Member ## Peter and Jacob are at the northwest corner of a field... Peter and Jacob are at the northwest corner of a field, which is a rectangle 300 ft long and 160 ft wide. Peter walks in a straight line directly to the southeast corner of the field. If Jacob walks 180 ft down the west side of the field and then walks in a straight line directly to the southeast corner of the field, what is the difference in the distance traveled by the two? A) 20 B) 40 C) 80 D) 120 E) 140 The OA is B. I don't have clear this PS question. I appreciate if any expert explains it to me. Thank you so much. ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Hello AAPL. Let's take a look at your question. The following image shows how the walked. Now, we can see that the distance walked by Peter is: $$\sqrt{160^2+300^2}=\sqrt{25600+90000}=\sqrt{115600}=340\ ft$$ On the other hand, the distance walked by Jacob is 180 ft + TF. And we can calculate TF as follows: $$TF=\sqrt{120^2+160^2}=\sqrt{14400+25600}=\sqrt{40000}=200\ ft$$ This implies that the distance walked by Jacob is 180+200 = 380 ft. Finally, the difference between the distance walked by Peter and Jacob is: 380-340 = 40 ft. Therefore, the correct answer is the option B. I hope this answer may help you. Feel free to ask me again if you have a doubt. Regards. _________________ GMAT Prep From The Economist We offer 70+ point score improvement money back guarantee. Our average student improves 98 points. Free 7-Day Test Prep with Economist GMAT Tutor - Receive free access to the top-rated GMAT prep course including a 1-on-1 strategy session, 2 full-length tests, and 5 ask-a-tutor messages. Get started now. • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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