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# If the speed of X meters per second is equivalent to the spe

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

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14 May 2010, 07:49
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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

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-the-speed-of-x-meters-per-second-is-equivalent-to-the-127005.html
[Reveal] Spoiler: OA

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Last edited by Bunuel on 24 Jul 2013, 00:59, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
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Re: Help me out here [#permalink]

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15 May 2010, 07:11
vannbj wrote:
If the speed of x meter per second is equivalent to y kilometers per hour, what is y in terms of x?

5x/18
6x/5
18x/5
60x
3,600,000x

x=1000y/3600

y = 18x/5 hence C.
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Re: Help me out here [#permalink]

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24 Jul 2013, 00:55
Y = (X * 60{to convert to minutes} * 60{to convert to hours}) / 1000 {to convert to km}
hence,

Y = X * 3600 / 1000
Y = X * 36 /10
Y = X * 18/5.
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Re: If the speed of X meters per second is equivalent to the spe [#permalink]

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24 Jul 2013, 01:01
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).

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.

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-the-speed-of-x-meters-per-second-is-equivalent-to-the-127005.html

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Re: If the speed of X meters per second is equivalent to the spe   [#permalink] 24 Jul 2013, 01:01
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# If the speed of X meters per second is equivalent to the spe

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