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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 ## James and Henry are at the northwest corner of their... tagged by: BTGmoderatorLU ##### This topic has 1 expert reply and 0 member replies ### Top Member ## James and Henry are at the northwest corner of their... James and Henry are at the northwest corner of their business school's football field, which is a rectangle 300 ft long and 160 ft wide. James walks in a straight line directly to the southeast corner of the field. If Henry 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, how many feet farther, to the neareast 10 ft, will Henry walk than James? A. 20 B. 40 C. 80 D. 120 E. 140 The OA is B. I know that I can determine the distance covered by James using the dimensions of the field and the Pythagoras's theorem, then $$\sqrt{\left(300\right)^2+\left(160\right)^2}$$ But, I don't understand how can I determine the distance covered by Henry. Experts, can you help assist me with this PS question, please? Thanks! ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Top Reply Hello LUANDATO. What you said is correct. James walked $$\sqrt{\left(300\right)^2+\left(160\right)^2}=340\ ft.$$ Henry walked 180 ft down and then walked in a straight line directly to the southeast corner. We have a right triangle with cathetus a=300-180=120 and b=160. So, the length of the hypotenuse is $$\sqrt{\left(120\right)^2+\left(160\right)^2}=200\ ft.$$ This implies that Henry walked 200+180=380 ft. That is to say, Henry walked 40 ft more than James. This is why the correct answer is B. I hope this may help you. I'm available if you'd like a follow-up. 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. • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder 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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