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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 At the rate of x feet per s seconds, how many miles does a c tagged by: ceilidh.erickson This topic has 8 expert replies and 2 member replies Top Member At the rate of x feet per s seconds, how many miles does a c At the rate of x feet per s seconds, how many miles does a cyclist travel in y minutes(5280 feet per mile)? a) xy/88s b) 88s/xy c) xy/5280s d) 5280s/xy e) 15xy/22s Please help me understand how to approach above conversion problems. Source is Veritas Prep Book on word problems. GMAT/MBA Expert GMAT Instructor Joined 04 Dec 2012 Posted: 1978 messages Followed by: 236 members Upvotes: 1443 I have always found that the easiest way to do unit conversions - and to make sure that you don't perform the wrong operation - it to set them up as fractions. Make sure that the unit you want to get rid of appears in the numerator of one fraction and the denominator of the other, so we can cancel it, just as we would with a variable (e.g. x/x). For example, here's how to convert 180 min into hours: Now, (min/min) will cancel: For the question you posted, you have two options: 1) PICK SMART NUMBERS. I'll choose a rate of 100 feet every 10 seconds. Now I'll set up 2 more fractions: feet to miles and seconds to minutes. I set up these fractions so that feet and seconds will cancel out: Now, cancel the units and simplify: We're looking for an answer of 10 miles when we plug in x = 100, s = 10, y = 88: a) xy/88s --> (100)(88)/(88)(10) = 10. Yes! b) 88s/xy --> 88(10)/(100)(88) = 1/10. No. c) xy/5280s --> (100)(88)/5280(10) = 6. No. d) 5280s/xy --> 5280(10)/(100)(88) = 1/6. No. e) 15xy/22s --> (15)(100)(88)/(22)(10) = 600. No. The answer is A. _________________ Ceilidh Erickson Manhattan Prep GMAT & GRE instructor EdM in Mind, Brain, and Education Harvard Graduate School of Education Manhattan Prep instructors all have 99th+ percentile scores and expert teaching experience. Sign up for a FREE TRIAL, and learn why we have the highest ratings in the GMAT industry! Free Manhattan Prep online events - The first class of every online Manhattan Prep course is free. Classes start every week. GMAT/MBA Expert GMAT Instructor Joined 04 Dec 2012 Posted: 1978 messages Followed by: 236 members Upvotes: 1443 Strategy #2: USE ALGEBRA. Often picking smart numbers is more efficient, but in this case, it's less work to just set up the fractions using x and s, rather than picking numbers. Set up the fractions the same way we did before: Now we can cancel our units: When we simplify and add in a y for the number of minutes, it reduces to xy/88s miles. _________________ Ceilidh Erickson Manhattan Prep GMAT & GRE instructor EdM in Mind, Brain, and Education Harvard Graduate School of Education Manhattan Prep instructors all have 99th+ percentile scores and expert teaching experience. Sign up for a FREE TRIAL, and learn why we have the highest ratings in the GMAT industry! Free Manhattan Prep online events - The first class of every online Manhattan Prep course is free. Classes start every week. Top Member Master | Next Rank: 500 Posts Joined 26 Oct 2016 Posted: 224 messages Followed by: 3 members Upvotes: 3 Thanks Eric for sharing multiple approaches to such kind of problems. GMAT/MBA Expert GMAT Instructor Joined 04 Dec 2012 Posted: 1978 messages Followed by: 236 members Upvotes: 1443 You're very welcome! (The name is Ceilidh, though. Erickson is my last name). Good luck! _________________ Ceilidh Erickson Manhattan Prep GMAT & GRE instructor EdM in Mind, Brain, and Education Harvard Graduate School of Education Manhattan Prep instructors all have 99th+ percentile scores and expert teaching experience. Sign up for a FREE TRIAL, and learn why we have the highest ratings in the GMAT industry! Free Manhattan Prep online events - The first class of every online Manhattan Prep course is free. Classes start every week. GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 9942 messages Followed by: 492 members Upvotes: 2867 GMAT Score: 800 Hi Anaira Mitch, As Ceilidh has pointed out, these types of questions can almost always be beaten by TESTing VALUES and staying really organized with your work. The formatting of the answer choices is also important - here, the answers are designed in such a way that you don't have to perform every calculation to prove whether an answer is correct or not (and that 'option', when it appears, can play a big role in how effective you are with your overall pacing). With these answers, notice how a couple of the answers 'hinge' on the number 5280, while two others hinge on the number 88 and the last hinges on the number 22. When TESTing VALUES, you might consider TESTing relatively small values and taking advantage of the patterns in the answer choices. IF we TEST X = 3 S = 2 Y = 1 At a rate of 3 feet per 2 seconds, how many miles does a cyclist travel in 1 minute.... 1 minute = 60 seconds 60 seconds/2 seconds = 30... so the cyclist traveled (3 feet)(30) = 90 feet in 1 minute. However, this question asks for the number of MILES that the cyclist traveled in Y minutes... and 90 feet is a TINY FRACTION of a mile (specifically 90/5280 = 9/528 = 3/176). Since all 3 variables are small integers, you can eliminate certain answers immediately... Answer B = 88..../..... = this will be far GREATER than 1. Answer C = (3)(4)/(5280)(1) = 12/5280.... this is far TOO SMALL Answer D = 5280..../..... = this will be significantly GREATER than 1 That just leaves two answers remaining (and notice how the variables appear in the same 'positions' in both answers, but the numerators and denominators are multiplied by different integers). If either answer matches, then you'd have the correct one... Answer A = (3)(1)/(88)(2) = 3/176 Final Answer: A GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com Legendary Member Joined 20 Jul 2009 Posted: 1021 messages Followed by: 2 members Upvotes: 41 Test Date: ND Target GMAT Score: 780 GMAT Score: NA Anaira Mitch wrote: At the rate of x feet per s seconds, how many miles does a cyclist travel in y minutes(5280 feet per mile)? a) xy/88s b) 88s/xy c) xy/5280s d) 5280s/xy e) 15xy/22s Please help me understand how to approach above conversion problems. Source is Veritas Prep Book on word problems. Speed = x/s feet/sec Time = y minute = (60 y) sec Distance traveled = (x/s)(60y) feet = 60xy/5280s miles = xy/88s miles. (A)is correct _________________ My Websites: https://mba.webmaggu.com - India's social Network for MBA Aspirants https://deal.webmaggu.com -India's online discount, coupon, free stuff informer. https://dictionary.webmaggu.com - A compact free online dictionary with images. Nothing is Impossible, even Impossible says I'm possible. GMAT/MBA Expert GMAT Instructor Joined 22 Aug 2016 Posted: 1606 messages Followed by: 27 members Upvotes: 470 Anaira Mitch wrote: At the rate of x feet per s seconds, how many miles does a cyclist travel in y minutes(5280 feet per mile)? a) xy/88s b) 88s/xy c) xy/5280s d) 5280s/xy e) 15xy/22s Please help me understand how to approach above conversion problems. Source is Veritas Prep Book on word problems. This is a typical Speed/Time/Distance problem. Here, rate can be taken as Speed. Thus, Speed = (x/s) feet/second Distance = Speed*Time = (x/s) feet/second * y minutes Distance = (x/s) feet/second * (y*60) seconds Distance = (60xy)/s feet; 'second' cancells Since the question wants the answer in miles, we need to convert feet into miles. We are given that '5280 feet = 1 mile.' Thus, Distance = [(60xy)/s] *[1/5280] miles Distance = (60xy) / (5280s) miles Distance = xy/88s miles Answer: A Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: New York | Singapore | London | Dubai | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here. GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 14929 messages Followed by: 1855 members Upvotes: 13060 GMAT Score: 790 Anaira Mitch wrote: At the rate of x feet per s seconds, how many miles does a cyclist travel in y minutes(5280 feet per mile)? a) xy/88s b) 88s/xy c) xy/5280s d) 5280s/xy e) 15xy/22s Plug in values for the SMALLER UNITS (feet and seconds) that convert easily to the LARGER UNITS (miles and minutes). Let x = 5280 feet = 1 mile. Let s = 60 seconds = 1 minute. Resulting rate = 1 mile per minute. Let y = 10 minutes. Since the rate = 1 mile per minute, the distance traveled in y=10 minutes is 10 miles. This is our target. Now plug x=5280, s=60 and y=10 into the answers to see which yields our target of 10. Only A works: xy/88s = (5280*10)/(88*60) = 5280/528 = 10. The correct answer is A. _________________ 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 12 Sep 2012 Posted: 2636 messages Followed by: 114 members Upvotes: 625 Target GMAT Score: V51 GMAT Score: 780 ceilidh.erickson wrote: You're very welcome! (The name is Ceilidh, though. Erickson is my last name). Good luck! Of course, at some point in the distant past, there must have been some Eric responsible for continuing your family tree -- though to be GMATy about it, I guess I'm assuming Erickson is not a married name -- so maybe OP is thanking him for ensuring that you made it to this world and could give such clear answers on this forum Enroll in a Veritas Prep GMAT class completely for FREE. Wondering if a GMAT course is right for you? Attend the first class session of an actual GMAT course, either in-person or live online, and see for yourself why so many students choose to work with Veritas Prep. Find a class now! GMAT/MBA Expert GMAT Instructor Joined 09 Apr 2015 Posted: 1461 messages Followed by: 17 members Upvotes: 39 Anaira Mitch wrote: At the rate of x feet per s seconds, how many miles does a cyclist travel in y minutes(5280 feet per mile)? a) xy/88s b) 88s/xy c) xy/5280s d) 5280s/xy e) 15xy/22s We need to determine the number of miles a cyclist can travel in y minutes at the rate of x feet per s seconds. First, we convert y minutes to seconds: y minutes = 60y seconds Since rate x time = distance, the cyclist travels (x/s)(60y) = 60xy/s feet in y minutes. Now, we convert feet to miles: (60xy/s)/(5280) = (60xy)/(5280s) = (xy)/(88s) Answer: A _________________ Jeffrey Miller Head of GMAT Instruction • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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