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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 started from his home and drove eastwards at a tagged by: AAPL ##### This topic has 1 expert reply and 0 member replies ### Top Member ## James started from his home and drove eastwards at a ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult e-GMAT James started from his home and drove eastwards at a constant speed. Exactly 90 minutes after James started from his home, his brother Patrick started from the same point and drove in the same direction as James did at a different constant speed. Patrick overtook James exactly 90 minutes after Patrick started his journey and then continued driving at the same speed for another 2 hours. By what percentage should Patrick reduce his speed so that James could catch up with Patrick in exactly 8 hours after Patrick overtook James? A. 25% B. 33% C. 50% D. 67% E. 75% OA D. ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15348 messages Followed by: 1864 members Upvotes: 13060 GMAT Score: 790 AAPL wrote: e-GMAT James started from his home and drove eastwards at a constant speed. Exactly 90 minutes after James started from his home, his brother Patrick started from the same point and drove in the same direction as James did at a different constant speed. Patrick overtook James exactly 90 minutes after Patrick started his journey and then continued driving at the same speed for another 2 hours. By what percentage should Patrick reduce his speed so that James could catch up with Patrick in exactly 8 hours after Patrick overtook James? A. 25% B. 33% C. 50% D. 67% E. 75% OA D. Let James' rate = 3 mph. James started from his home and drove eastwards at a constant speed. Exactly 90 minutes after James stated from his home, his brother Patrick started from the same point and drove in the same direction as James did at a different constant speed. Patrick overtook James exactly 90 minutes after Patrick started his journey. When James is overtaken by Patrick, James has traveled for a total of 3 hours, implying the following distance: rt = 3*3 = 9 miles. Patrick leaves 90 minutes after James and thus overtakes James by traveling these 9 miles in only 1.5 hours, implying the following rate for Patrick: d/t = 9/(1.5) = 90/15 = 6 mph. Patrick then continued driving at the same speed for another 2 hours. When people COMPETE, we SUBTRACT THEIR RATES. Difference between Patrick's rate and James' rate = 6-3 = 3 mph. Implication: Every hour after overtaking James, Patrick travels 3 miles ahead of James. Thus: Over the next 2 hours, Patrick travels a total of 6 miles head of James. By what percentage should Patrick reduce his speed so that James could catch up with Patrick in exactly 8 hours after Patrick overtook James? Since 2 hours have passed since Patrick overtook James, James must catch up to Patrick in the next 6 hours. Implication: For James to catch up by 6 miles over the next 6 hours, he must catch up by 1 mile every hour. Thus: Over the next 6 hours, James' rate must be ONE MPH GREATER than Patrick's rate, so that James catches up by 1 mile every hour. Since James' rate = 3 mph, Patrick's rate must decrease from 6 mph to 2 mph. Percent decrease from 6 to 2 = Difference/Larger * 100 = (6-2)/6 * 100 = 66.66%. The correct answer is D. _________________ 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. • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • 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 • Award-winning private GMAT tutoring Register now and save up to$200

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