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

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If the speed of X meters per second is equivalent to the [#permalink] New post 03 Feb 2012, 07:24
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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. 15x/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
[Reveal] Spoiler: OA

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Re: x meters vs y kilometers [#permalink] New post 03 Feb 2012, 07:32
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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.

Answer: C.
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Re: If the speed of X meters per second is equivalent to the [#permalink] New post 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
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Re: If the speed of X meters per second is equivalent to the [#permalink] New post 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?
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Re: If the speed of X meters per second is equivalent to the [#permalink] New post 30 Oct 2012, 09:07
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danzig wrote:
Bunuel, is this a word problem or what tipe of problem is?
Do you have a link to find more of these problems, please?


It's a conversion problem. Below are some similar questions to practice:

if-an-object-travels-100-feet-in-2-seconds-what-is-the-103364.html
the-rear-wheels-of-a-car-crossed-a-certain-line-0-5-second-135753.html
a-train-traveling-at-a-constant-speed-down-a-straight-track-87124.html
a-welder-received-an-order-to-make-a-1-million-liter-126154.html
a-car-traveling-at-a-certain-constant-speed-takes-2-seconds-126658.html
if-an-automobile-averaged-22-5-miles-per-gallon-of-gasoline-109083.html
if-1-kilometer-is-approximately-0-6-mile-which-of-the-140731.html
measuring-standards-conversion-106516.html

Hope it helps.
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Re: If the speed of X meters per second is equivalent to the [#permalink] New post 16 Nov 2012, 02:36
This is a sub-600 question.
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Re: If the speed of X meters per second is equivalent to the [#permalink] New post 19 Mar 2013, 15:23
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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=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 [#permalink] New post 02 Aug 2013, 10:05
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
Re: If the speed of X meters per second is equivalent to the   [#permalink] 02 Aug 2013, 10:05
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