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If the speed of X meters per second is equivalent to the
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03 Feb 2012, 08:24
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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
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03 Feb 2012, 08:32
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.
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Re: If the speed of X meters per second is equivalent to the
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19 Mar 2013, 16:23
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




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Re: If the speed of X meters per second is equivalent to the
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03 Feb 2012, 10:13
thanks alot. I am more comfortable working with the second approach, I needed someone to do it with plugging in approach. Thanks alot
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Re: If the speed of X meters per second is equivalent to the
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30 Oct 2012, 08:48
Bunuel, is this a word problem or what tipe of problem is? Do you have a link to find more of these problems, please?



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16 Nov 2012, 03:36
This is a sub600 question.
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Re: If the speed of X meters per second is equivalent to the
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02 Aug 2013, 11:05
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



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02 Sep 2014, 22:40
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
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Re: If the speed of X meters per second is equivalent to the
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25 Jun 2017, 14:00
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



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Re: If the speed of X meters per second is equivalent to the
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26 Jun 2017, 00:56
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 appThe reason is given there. How did you get your number? 1 meter per second = 3600 meters per hour = 3600/1000 kilometers per hour.
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Re: If the speed of X meters per second is equivalent to the
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26 Jun 2017, 01:47
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 CHope you LIKE this solution, if YES, 1 Kudos Please
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Re: If the speed of X meters per second is equivalent to the
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26 Jun 2017, 01:48
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 appThe 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



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Re: If the speed of X meters per second is equivalent to the
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15 Jul 2017, 13:09
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 ..



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Re: If the speed of X meters per second is equivalent to the
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28 Feb 2018, 22:10
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
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Re: If the speed of X meters per second is equivalent to the
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18 Aug 2018, 19:53
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 Answer: C
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Re: If the speed of X meters per second is equivalent to the
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20 Sep 2018, 00:00
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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