Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 28 Jun 2008
Posts: 45

If the speed of X meters per second is equivalent to the spe
[#permalink]
Show Tags
04 Jun 2009, 21:39
Question Stats:
79% (01:05) correct 21% (01:21) wrong based on 371 sessions
HideShow timer Statistics
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
Official Answer and Stats are available only to registered users. Register/ Login.



Manager
Joined: 12 Apr 2006
Posts: 202
Location: India

Re: speed/conversion problem
[#permalink]
Show Tags
05 Jun 2009, 02:47
To convert Y Km/Hr to Metre/second just multiply it by 1000/(60*60)
1000Y/3600 and this is equal to X
Hence 1000Y/3600 = X => Y = 18X/5



Manager
Joined: 08 May 2010
Posts: 132

Re: help solving problem
[#permalink]
Show Tags
09 May 2010, 22:40
y=18/5x
meters>km is a factor of 1000
seconds > hrs is a factor of 3600 (or 60sec/min times 60min/hr)
3600/1000 = 18/5. Did I do this right?
Let me try slower:
Meters/sec times 1KM/1000meter =KM/sec; Km/sec times 60 sec/min times 60 min/hr =km/hr. so we divide by 1000 and multiply by 3600. Yep I think I got it.



Intern
Joined: 28 Feb 2010
Posts: 7

Re: help solving problem
[#permalink]
Show Tags
10 May 2010, 02:25
Is it not 5/18 and not 18/5 ?
km/hr is Y m/s is X
what is Y in terms of X implies express Y in X which is
1000/3600X = 10/36X
Y=5/18X.
Please correct.



Intern
Joined: 13 Oct 2010
Posts: 20

Re: speed/conversion problem
[#permalink]
Show Tags
14 Dec 2010, 00:48
For conversions try to understand the basic fundamental through the below explanation;
Example #1)
1 mile= 1.61km
so 15.7 miles =? km
Soln: PRINCIPLE/METHODOLOGY:
Convert the eqn to a fraction with the desired units on top and the given units on the bottom i.e. to convert from miles to kilometers you need a fraction with the desired units (KM in our case) on THE TOP and the given units (Miles) on THE BOTTOM.
= 1.61km/1mile
Now the solution becomes 15.7miles * 1.61 Km /1 mile = 25.3km (Note how the miles in the num & deno cancel and we are left with km  as what the question asked.Keep this principle in mind)
Example #2)
7miles/sec is how many miles / hour?
Soln: 1 hr= 3600 sec In the question given units (sec) are in the denominator of the original measurement, so seconds must be in the numerator of the conversion function.
1 hr= 3600 sec i.e 1=3600/1hr
7miles/sec x 3600 sec/hr =7x 3600 = 25000 miles /hr . (Note the seconds get cancelled)
Example#3)
12 cubic yards = how many cubic feet?
Given: 1 yard= 3 feet . i.e 1 =3feet/1 yard
Therefore 12 yd^3 * (3ft/1yd)^3 = 12 * 3^3 * yd^3 x ft^3 / yd^3 = 12 x 27 ft^3 (Note that the yd^3 gets cancelled out in Num & Deno)
= 324 ft^3 (Ans)
COMING BACK TO YOUR ORIGINAL QUESTION , solution as follows, x mtr/sec= y km/hour
Therefore in terms of x calculate as follows,
xmtr/sec * 60sec/1min * 60min/1hr * 1km/1000mtr
= 18x/5 (note how the mtr,sec & min cancell out in the numerator and denominator giving us what we required)
Answer C



Math Expert
Joined: 02 Sep 2009
Posts: 49206

Re: speed/conversion problem
[#permalink]
Show Tags
14 Dec 2010, 02:10
scorpio7 wrote: Hey guys, was wondering if anyone could offer a way to solve this problem:
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
answer: C. 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.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 8278
Location: Pune, India

Re: speed/conversion problem
[#permalink]
Show Tags
14 Dec 2010, 20:59
scorpio7 wrote: Hey guys, was wondering if anyone could offer a way to solve this problem:
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
answer: C. Unit conversion is a quick process: \(\frac{X meters}{1 second} = \frac{Y km}{1 hour}\) Replace a km by 1000 m and 1 hour by 3600 seconds \(\frac{X meters}{1 second} = \frac{Y * 1000 meters}{3600 seconds}\) Units get canceled and we are left with: \(\frac{18X}{5} = Y\) Check out my blog post for more examples: http://gmatquant.blogspot.com/2010/11/convertingunitsitsonestepprocess.html
_________________
Karishma Veritas Prep GMAT Instructor
Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >
GMAT selfstudy has never been more personalized or more fun. Try ORION Free!



Director
Joined: 03 Sep 2006
Posts: 834

Re: speed/conversion problem
[#permalink]
Show Tags
14 Dec 2010, 21:42
\((X)(m/s) = (Y)(Km/hr) = (Y)(1000m/60*60s)\) \(Y=(X)*((60*60)/1000) = 3.6X = 18X/5\)



Director
Joined: 23 Apr 2010
Posts: 552

Re: help solving problem
[#permalink]
Show Tags
25 Dec 2010, 08:01
I think it's \(\frac{18x}{5}\)
Can someone please double check?



Senior Manager
Joined: 25 May 2010
Posts: 301
Location: United States
Concentration: Strategy, Finance
GMAT 1: 590 Q47 V25 GMAT 2: 560 Q47 V20 GMAT 3: 600 Q47 V25 GMAT 4: 680 Q49 V34

Re: help solving problem
[#permalink]
Show Tags
25 Dec 2010, 08:15
Y=X* 60*60/1000 =>Y= X*36/10 => Y=X*18/5
_________________
"Whether You Think You Can or Can't, You're Right"Henry Ford 680 Debrief 600 Debrief 590 Debrief My GMAT Journey



Intern
Joined: 08 Oct 2010
Posts: 30

HELP for a Gmat prep question
[#permalink]
Show Tags
06 Jan 2011, 08:55
Hello guys,
I can't figure out this problem :
If the speed of x meters per second is eqivalent to the speed of y km per hour, what is y in terms of x ?
5x/18
6x/5
18x/5
60x
3 600 000x
THANKS !!



Manager
Joined: 04 Dec 2011
Posts: 67

Re: If the speed of X meters per second is equivalent to the spe
[#permalink]
Show Tags
30 Sep 2013, 12:48
can some expert give me some questions/links on this forum which involves unit conversions, Spl typical DS question types containing manipulation of speed units to arrive at answers. Have exam in less than a week, any help is appreciated. I tried searching the forum with keyword as "unit conversion" but didnt get what i am looking for
_________________
Life is very similar to a boxing ring. Defeat is not final when you fall down… It is final when you refuse to get up and fight back!
1 Kudos = 1 thanks Nikhil



Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 8278
Location: Pune, India

Re: If the speed of X meters per second is equivalent to the spe
[#permalink]
Show Tags
30 Sep 2013, 20:08
nikhil007 wrote: can some expert give me some questions/links on this forum which involves unit conversions, Spl typical DS question types containing manipulation of speed units to arrive at answers. Have exam in less than a week, any help is appreciated. I tried searching the forum with keyword as "unit conversion" but didnt get what i am looking for Here is a post on conversions: http://www.veritasprep.com/blog/2011/01 ... ndounces/
_________________
Karishma Veritas Prep GMAT Instructor
Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >
GMAT selfstudy has never been more personalized or more fun. Try ORION Free!



Math Expert
Joined: 02 Sep 2009
Posts: 49206

Re: If the speed of X meters per second is equivalent to the spe
[#permalink]
Show Tags
01 Oct 2013, 01:13



Intern
Joined: 11 Jan 2015
Posts: 2
Location: Argentina
Concentration: Sustainability, Strategy
WE: Consulting (Energy and Utilities)

Re: If the speed of X meters per second is equivalent to the spe
[#permalink]
Show Tags
25 Mar 2015, 12:56
\(X\frac{m}{s}=X\frac{m}{s}\frac{1 km}{1000 m}\frac{3600 s}{1 h}=X*3.6\frac{km}{h}=X\frac{18}{5}\frac{km}{h}=Y\frac{km}{h}\)
Therefore
\(Y=X\frac{18}{5}\)
Asnwer: C
1:00



NonHuman User
Joined: 09 Sep 2013
Posts: 8064

Re: If the speed of X meters per second is equivalent to the spe
[#permalink]
Show Tags
14 Oct 2017, 16:39
Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up  doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources




Re: If the speed of X meters per second is equivalent to the spe &nbs
[#permalink]
14 Oct 2017, 16:39






