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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 car traveled 462 miles per tankful of gasoline on the... tagged by: swerve ##### This topic has 2 expert replies and 0 member replies ### Top Member ## A car traveled 462 miles per tankful of gasoline on the... A car traveled 462 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city. If the car traveled 6 fewer miles per gallon in the city than on the highway, how many miles per gallon did the car travel in the city? (A) 14 (B) 16 (C) 21 (D) 22 (E) 27 The OA is B. Please, can any expert explain this PS question for me? I tried to solve it but I can't get the correct answer. I need your help. Thanks. ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15385 messages Followed by: 1872 members Upvotes: 13060 GMAT Score: 790 Top Reply Quote: A car traveled 462 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city. If the car traveled 6 fewer miles per gallon in the city than on the highway, how many miles per gallon did the car travel in the city? (A) 14 (B) 16 (C) 21 (D) 22 (E) 27 An alternate approach is to PLUG IN THE ANSWERS, which represent the miles per gallon in the city. When the correct answer choice is plugged in, the same amount of gas -- in other words, ONE TANKFUL -- will be required to travel 336 miles in the city and 462 miles on the highway. Since all of the values in the problem are INTEGERS, the correct answer choice must divide evenly into the distance traveled in the city (336). 336 = 2*3*7*8. Eliminate D (2*11) and E (3*3*3), neither of which divide evenly into 2*3*7*8. Since on the highway 6 more miles per gallon are traveled, 6 more than the correct answer choice must divide evenly into the distance traveled on the highway (462). Adding 6 to each of the remaining answer choices, we get: A: 14+6 = 20 = 2*2*5. B: 16+6 = 22 = 2*11. C: 21+6 = 27 = 3*3*3. Since 462 = 2*3*7*11, only B (2*11) divides evenly into the distance traveled on the highway. The correct answer is B. Answer choice B: 16 miles per gallon in the city, 22 miles per gallon on the highway At a rate of 16 miles per gallon, the amount of gas required to travel 336 miles in the city = 336/16 = 21 gallons. At a rate of 22 miles per gallon, the amount of gas required to travel 462 miles on the highway = 462/22 = 21 gallons. Success! The same amount of gas -- 21 gallons -- is sufficient to travel 336 miles in the city and 462 miles on the highway. _________________ 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. ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Top Reply Quote: A car traveled 462 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city. If the car traveled 6 fewer miles per gallon in the city than on the highway, how many miles per gallon did the car travel in the city? (A) 14 (B) 16 (C) 21 (D) 22 (E) 27 The OA is B. Please, can any expert explain this PS question for me? I tried to solve it but I can't get the correct answer. I need your help. Thanks. Hi swerve, Let's take a look at your question. On Highway, using a tank full of gasoline a car traveled = 462 miles In city, using a tank full of gasoline a car traveled = 336 miles Let, On Highway, miles per gallon the car traveled = x miles, then In city, miles per gallon the car traveled = (x-6) miles We will be using ratios to solve this problem, $$\frac{462}{336}=\frac{x}{x-6}$$ $$\frac{231}{168}=\frac{x}{x-6}$$ $$231\left(x-6\right)=168x$$ $$231x-1386=168x$$ $$231x-168x=1386$$ $$63x=1386$$ $$x=\frac{1386}{63}$$ $$x=22$$ We need to find, how many miles per gallon did the car travel in the city? In city, miles per gallon the car traveled = (x-6) miles In city, miles per gallon the car traveled = 22-6 = 16 miles Option B is correct. Hope it helps. I am available if you'd like any follow up. _________________ 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. • Award-winning private GMAT tutoring Register now and save up to$200

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