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• ### $450 Tuition Credit & Official CAT Packs FREE December 15, 2018 December 15, 2018 10:00 PM PST 11:00 PM PST Get the complete Official GMAT Exam Pack collection worth$100 with the 3 Month Pack ($299) • ### FREE Quant Workshop by e-GMAT! December 16, 2018 December 16, 2018 07:00 AM PST 09:00 AM PST Get personalized insights on how to achieve your Target Quant Score. # If the speed of X meters per second is equivalent to the  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: ### Hide Tags Manager Status: D-Day is on February 10th. and I am not stressed Affiliations: American Management association, American Association of financial accountants Joined: 12 Apr 2011 Posts: 179 Location: Kuwait Schools: Columbia university If the speed of X meters per second is equivalent to the [#permalink] ### Show Tags 03 Feb 2012, 07:24 6 43 00:00 Difficulty: 25% (medium) Question Stats: 72% (01:34) correct 28% (01:54) wrong based on 1093 sessions ### HideShow timer Statistics If the speed of X meters per second is equivalent to the speed of Y kilometers per hour, what is Y in terms of X? (1 kilometer=1000 meters) A. 5x/18 B. 6x/5 C. 18x/5 D. 60x E. 3600000x can someone explain please, and what is the quickest way to aproach this type of question Edit: Edited answer choices as per gmatprep _________________ Sky is the limit ##### Most Helpful Expert Reply Math Expert Joined: 02 Sep 2009 Posts: 51218 Re: If the speed of X meters per second is equivalent to the [#permalink] ### Show Tags 03 Feb 2012, 07:32 13 9 If the speed of X meters per second is equivalent to the speed of Y kilometers per hour, what is Y in terms of X? (1 kilometer=1000 meters) A. 15x/18 B. 6x/5 C. 18x/5 D. 60x E. 3600000x X meters per second --> --> 3,600X meters per hour (as there are 3,600 seconds in one hour); --> 3,600X/1,000=18X/5 kilometers per hour (as there are 1,000 meters in one kilometer). Answer: C. OR: if you are not comfortable with above manipulations with variable X then you can assume x to be equal to some #: let x=10. Speed = 10 meters per second --> --> 10*3,600=36,000 meters per hour --> --> 36,000/1000=36 kilometers per hour. So, if x=10, then y=36. Plug x=10 into the answer choices, the one which give 36 will be the correct answer: A. 15x/18=150/18<36; B. 6x/5=60/5=12; C. 18x/5=36 correct choice; D. 60x=600; E. 3,600,000x=36,000,000. Answer: C. _________________ ##### Most Helpful Community Reply Manager Joined: 24 Jan 2013 Posts: 72 Re: If the speed of X meters per second is equivalent to the [#permalink] ### Show Tags 19 Mar 2013, 15:23 15 2 If the speed of x meters per second is equivalent to the speed of y kilometers per hour, what is y in terms of x? (1 kilometer=1000meters). $$y*\frac{kilometers}{hour}=x*\frac{meters}{seconds}$$ $$y*\frac{1\;kilometer}{1\; hour}*\frac{1000 \;meters}{1 \;kilometer}*\frac{1\; hour}{3600 \;seconds}=x*\frac{meters}{seconds}$$ $$y*\frac{1000 \;meters}{3600 \;seconds}=x*\frac{meters}{seconds}$$ --------> $$y=\frac{3600}{1000}*x=\frac{18}{5}*x$$ Answer C ##### General Discussion Manager Status: D-Day is on February 10th. and I am not stressed Affiliations: American Management association, American Association of financial accountants Joined: 12 Apr 2011 Posts: 179 Location: Kuwait Schools: Columbia university Re: If the speed of X meters per second is equivalent to the [#permalink] ### Show Tags 03 Feb 2012, 09:13 thanks alot. I am more comfortable working with the second approach, I needed someone to do it with plugging in approach. Thanks alot _________________ Sky is the limit Manager Joined: 11 Aug 2012 Posts: 116 Schools: HBS '16, Stanford '16 Re: If the speed of X meters per second is equivalent to the [#permalink] ### Show Tags 30 Oct 2012, 07:48 Bunuel, is this a word problem or what tipe of problem is? Do you have a link to find more of these problems, please? Math Expert Joined: 02 Sep 2009 Posts: 51218 Re: If the speed of X meters per second is equivalent to the [#permalink] ### Show Tags 30 Oct 2012, 09:07 6 8 Manager Status: Prevent and prepare. Not repent and repair!! Joined: 13 Feb 2010 Posts: 196 Location: India Concentration: Technology, General Management GPA: 3.75 WE: Sales (Telecommunications) Re: If the speed of X meters per second is equivalent to the [#permalink] ### Show Tags 16 Nov 2012, 02:36 This is a sub-600 question. _________________ I've failed over and over and over again in my life and that is why I succeed--Michael Jordan Kudos drives a person to better himself every single time. So Pls give it generously Wont give up till i hit a 700+ Senior Manager Joined: 13 May 2013 Posts: 425 Re: If the speed of X meters per second is equivalent to the [#permalink] ### Show Tags 02 Aug 2013, 10:05 1 If the speed of X meters per second is equivalent to the speed of Y kilometers per hour, what is Y in terms of X? (1 kilometer=1000 meters) We need to find an equation with x in the answer... convert all measurements so they are alike (i.e. convert km to m, seconds to hours, etc) Speed = x/t x meters/second (3600) x meters/hour Speed = y/t y KM/hour Speed = y(1000m)/hour y(1000meters)/hour = (3600) x meters/hour y(1000)/1hour = x(3600) / 1 hour y(1000) = x(3600) y = 3.6x Answer: C. 18x/5 SVP Status: The Best Or Nothing Joined: 27 Dec 2012 Posts: 1825 Location: India Concentration: General Management, Technology WE: Information Technology (Computer Software) Re: If the speed of X meters per second is equivalent to the [#permalink] ### Show Tags 02 Sep 2014, 21:40 1 x meters in 1 second i.e $$\frac{x}{1000}$$ Kms in 1 Second i.e $$\frac{x}{1000}$$ Kms in $$\frac{1}{60}$$ Minutes i.e $$\frac{x}{1000}$$ Kms in $$\frac{1}{3600}$$ Hour i.e $$\frac{x}{1000} * 3600$$ in 1 Hr = Y $$y = \frac{18x}{5}$$ Answer = C _________________ Kindly press "+1 Kudos" to appreciate Intern Joined: 02 Jan 2017 Posts: 44 Re: If the speed of X meters per second is equivalent to the [#permalink] ### Show Tags 25 Jun 2017, 13:00 Bunuel wrote: If the speed of X meters per second is equivalent to the speed of Y kilometers per hour, what is Y in terms of X? (1 kilometer=1000 meters) A. 15x/18 B. 6x/5 C. 18x/5 D. 60x E. 3600000x X meters per second --> --> 3,600X meters per hour (as there are 3,600 seconds in one hour); --> 3,600X/1,000=18X/5 kilometers per hour (as there are 1,000 meters in one kilometer). Answer: C. OR: if you are not comfortable with above manipulations with variable X then you can assume x to be equal to some #: let x=10. Speed = 10 meters per second --> --> 10*3,600=36,000 meters per hour --> --> 36,000/1000=36 kilometers per hour. So, if x=10, then y=36. Plug x=10 into the answer choices, the one which give 36 will be the correct answer: A. 15x/18=150/18<36; B. 6x/5=60/5=12; C. 18x/5=36 correct choice; D. 60x=600; E. 3,600,000x=36,000,000. Answer: C. Hi Bunuel, I'm a lil bit confused here. If x m/s ≈ y km/hr I tot it shd be A because 1 km/hr ≈ 1000/3600 m/s so y ≈ 5/18 Why did you choose the inverse Sent from my D6503 using GMAT Club Forum mobile app Math Expert Joined: 02 Sep 2009 Posts: 51218 Re: If the speed of X meters per second is equivalent to the [#permalink] ### Show Tags 25 Jun 2017, 23:56 aaronTgmaT wrote: Bunuel wrote: If the speed of X meters per second is equivalent to the speed of Y kilometers per hour, what is Y in terms of X? (1 kilometer=1000 meters) A. 15x/18 B. 6x/5 C. 18x/5 D. 60x E. 3600000x X meters per second --> --> 3,600X meters per hour (as there are 3,600 seconds in one hour); --> 3,600X/1,000=18X/5 kilometers per hour (as there are 1,000 meters in one kilometer). Answer: C. OR: if you are not comfortable with above manipulations with variable X then you can assume x to be equal to some #: let x=10. Speed = 10 meters per second --> --> 10*3,600=36,000 meters per hour --> --> 36,000/1000=36 kilometers per hour. So, if x=10, then y=36. Plug x=10 into the answer choices, the one which give 36 will be the correct answer: A. 15x/18=150/18<36; B. 6x/5=60/5=12; C. 18x/5=36 correct choice; D. 60x=600; E. 3,600,000x=36,000,000. Answer: C. Hi Bunuel, I'm a lil bit confused here. If x m/s ≈ y km/hr I tot it shd be A because 1 km/hr ≈ 1000/3600 m/s so y ≈ 5/18 Why did you choose the inverse Sent from my D6503 using GMAT Club Forum mobile app The reason is given there. How did you get your number? 1 meter per second = 3600 meters per hour = 3600/1000 kilometers per hour. _________________ Retired Moderator Joined: 19 Mar 2014 Posts: 941 Location: India Concentration: Finance, Entrepreneurship GPA: 3.5 Re: If the speed of X meters per second is equivalent to the [#permalink] ### Show Tags 26 Jun 2017, 00:47 1 If the speed of X meters per second is equivalent to the speed of Y kilometers per hour, what is Y in terms of X? (1 kilometer=1000 meters) In order to avoid the confusion in conversions, lets write this equation in its simplistic format. $$x * \frac{Meters}{Second} = y * \frac{Kilometers}{Hour}$$ $$x * \frac{Meters}{Second} = y * \frac{Kilometers}{Hour} * \frac{(1000) Meters}{(1) Kilometer} *\frac{(1) Hour}{(60 * 60) Seconds}$$ Cancelling out the units - Kilometers and Hours on the R.H.S. $$x * \frac{Meters}{Second} = y * \frac{(1000) Meters}{(3600) Seconds}$$ $$x * \frac{Meters}{Second} = y * \frac{(5) Meters}{(18) Seconds}$$ Lets take values in terms of y: $$y * \frac{Meters}{Seconds} = x * \frac{Meters}{Second}* \frac{18}{5}$$ Which means: $$y = \frac{18x}{5}$$ Hence, the answer is C Hope you LIKE this solution, if YES, 1 Kudos Please _________________ "Nothing in this world can take the place of persistence. Talent will not: nothing is more common than unsuccessful men with talent. Genius will not; unrewarded genius is almost a proverb. Education will not: the world is full of educated derelicts. Persistence and determination alone are omnipotent." Best AWA Template: https://gmatclub.com/forum/how-to-get-6-0-awa-my-guide-64327.html#p470475 Intern Joined: 02 Jan 2017 Posts: 44 Re: If the speed of X meters per second is equivalent to the [#permalink] ### Show Tags 26 Jun 2017, 00:48 Bunuel wrote: aaronTgmaT wrote: Bunuel wrote: If the speed of X meters per second is equivalent to the speed of Y kilometers per hour, what is Y in terms of X? (1 kilometer=1000 meters) A. 15x/18 B. 6x/5 C. 18x/5 D. 60x E. 3600000x X meters per second --> --> 3,600X meters per hour (as there are 3,600 seconds in one hour); --> 3,600X/1,000=18X/5 kilometers per hour (as there are 1,000 meters in one kilometer). Answer: C. OR: if you are not comfortable with above manipulations with variable X then you can assume x to be equal to some #: let x=10. Speed = 10 meters per second --> --> 10*3,600=36,000 meters per hour --> --> 36,000/1000=36 kilometers per hour. So, if x=10, then y=36. Plug x=10 into the answer choices, the one which give 36 will be the correct answer: A. 15x/18=150/18<36; B. 6x/5=60/5=12; C. 18x/5=36 correct choice; D. 60x=600; E. 3,600,000x=36,000,000. Answer: C. Hi Bunuel, I'm a lil bit confused here. If x m/s ≈ y km/hr I tot it shd be A because 1 km/hr ≈ 1000/3600 m/s so y ≈ 5/18 Why did you choose the inverse Sent from my D6503 using GMAT Club Forum mobile app The reason is given there. How did you get your number? 1 meter per second = 3600 meters per hour = 3600/1000 kilometers per hour. How I got my number is the usual conversion. 1km = 1000m 1hr = 3600 secs So the rates are 1/1 km/hr = 1000/3600 m/s = 5/18 Sent from my D6503 using GMAT Club Forum mobile app Math Expert Joined: 02 Sep 2009 Posts: 51218 Re: If the speed of X meters per second is equivalent to the [#permalink] ### Show Tags 26 Jun 2017, 00:53 aaronTgmaT wrote: How I got my number is the usual conversion. 1km = 1000m 1hr = 3600 secs So the rates are 1/1 km/hr = 1000/3600 m/s = 5/18 Sent from my D6503 using GMAT Club Forum mobile app That's not correct. Again, the correct way is: 1 meter per second = 3600 meters per hour = 3600/1000 kilometers per hour. Check other Conversion problems to practice in Special Questions Directory. _________________ Senior Manager Status: love the club... Joined: 24 Mar 2015 Posts: 272 Re: If the speed of X meters per second is equivalent to the [#permalink] ### Show Tags 15 Jul 2017, 12:09 manalq8 wrote: thanks alot. I am more comfortable working with the second approach, I needed someone to do it with plugging in approach. Thanks alot x/1 = 1000y/3600 y= 18x/5 hope this helps cheers .. EMPOWERgmat Instructor Status: GMAT Assassin/Co-Founder Affiliations: EMPOWERgmat Joined: 19 Dec 2014 Posts: 13087 Location: United States (CA) GMAT 1: 800 Q51 V49 GRE 1: Q170 V170 Re: If the speed of X meters per second is equivalent to the [#permalink] ### Show Tags 28 Feb 2018, 21:10 1 1 Hi All, This question can be solved in a couple of different ways; you can use unit conversions or you can use TEST IT: We're asked to convert X meters/second into Y kilometers/hour.... If X = 2, then... 2 meters/second = 120 meters/minute = 7200 meters/hour = 7.2 kilometers/hour So we need an answer that equals 7.2 when X = 2 Plugging 2 into each of the answers gives us... A) 10/18 = 5/9 B) 12/5 = 2.4 C) 36/5 = 7.2 D) 120 E) 7,200,000 Final Answer: GMAT assassins aren't born, they're made, Rich _________________ 760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com # Rich Cohen Co-Founder & GMAT Assassin Special Offer: Save$75 + GMAT Club Tests Free
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Re: If the speed of X meters per second is equivalent to the  [#permalink]

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18 Aug 2018, 18:53
manalq8 wrote:
If the speed of X meters per second is equivalent to the speed of Y kilometers per hour, what is Y in terms of X? (1 kilometer=1000 meters)

A. 5x/18
B. 6x/5
C. 18x/5
D. 60x
E. 3600000x

There are 3,600 seconds in an hour and 1,000 meters in a kilometer. So, let’s convert y kilometers/hour to meters/second:

We can start by converting y kilometers to meters.

y kilometers = 1,000y meters

Next we can convert 1 hour to seconds.

1 hour = 3,600 seconds

Thus, y km/hr can be expressed as 1,000y/3,600 m/sec, or 5y/18 m/sec, after it’s simplified.

Since our two rates are equal, x = 5y/18. We need to solve this equation for y.

18x = 5y

18x/5 = y

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Re: If the speed of X meters per second is equivalent to the  [#permalink]

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19 Sep 2018, 23:00
Its just a conversion question. To convert m/s into km/h, you multiply by 5/18
To convert km/h into m/s, you multiply by 18/5
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Re: If the speed of X meters per second is equivalent to the &nbs [#permalink] 19 Sep 2018, 23:00
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