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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. 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.

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 _________________

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

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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 [#permalink]

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16 Nov 2012, 03:36

This is a sub-600 question.
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02 Sep 2014, 21:27

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Hello from the GMAT Club BumpBot!

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

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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

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

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

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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