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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]

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

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New post 03 Feb 2012, 07:32
13
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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]

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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]

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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]

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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]

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New post 30 Oct 2012, 09:07
6
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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]

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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]

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

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

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New post 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

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

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

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New post 26 Jun 2017, 00:47
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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)

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

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

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New post 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

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

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New post 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

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

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

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New post 28 Feb 2018, 21:10
1
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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:

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

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New post 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

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

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New post 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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