Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 05 Jul 2013
Posts: 6
Location: Germany
GMAT 1: 640 Q38 V39 GMAT 2: 700 Q47 V39
GPA: 3.4
WE: Investment Banking (Real Estate)

If Susan takes 9 seconds to run y yards, how many minutes [#permalink]
Show Tags
06 Sep 2013, 03:39
1
This post received KUDOS
5
This post was BOOKMARKED
Question Stats:
68% (01:00) correct
32% (00:59) wrong based on 298 sessions
HideShow timer Statistics
If Susan takes 9 seconds to run y yards, how many minutes will it take her to run x yards at the same rate? A)\(\frac{xy}{9}\) B)\(\frac{9x}{60y}\) C)\(\frac{60xy}{9}\) D)\(\frac{xy}{540}\) E)\(\frac{540x}{y}\)
Official Answer and Stats are available only to registered users. Register/ Login.



Math Expert
Joined: 02 Sep 2009
Posts: 39753

Re: If Susan takes 9 seconds to run y yards, how many minutes [#permalink]
Show Tags
06 Sep 2013, 03:44



Senior Manager
Joined: 13 May 2013
Posts: 469

Re: If Susan takes 9 seconds to run y yards, how many minutes [#permalink]
Show Tags
09 Sep 2013, 09:27
Susan runs y yards in 9 seconds which means her rate over that particular distance is: r = y/9 We're told to look for how long it will take her to run x yards at the same rate (i.e. r=y/9) Time taken: t = d/r t = x/r t = x/(y/9) t = 9x/y This gives us the time in seconds but we need to multiply by 60 (seconds) to get the time in minutes. t = 9x/60y I had a bit of trouble conceptualizing this problem at first, specifically why we would find the time of the new distance (in minutes) by dividing by the old rate. Well, I guess it was a silly problem to be caught up on. All we want to know is how long (t) it will take for x yards to be covered at the same rate we determined to be (y/9) Then, we just had to multiply by 60 seconds to get y in terms of minutes. I guess the final answer tripped me up because of the way it multiplied out (in other words, if t = d/r then why is d here equal to 9 seconds*x distance.) I'm not sure what I can do to help me better understand these kinds of problems. ANSWER: b.) 9x/60yP.S. Bunuel, I believe you got the correct answer (it's the same one I got) but you marked down the incorrect answer choice.Cheers!



Manager
Joined: 25 Jul 2012
Posts: 75
Location: United States

Re: If Susan takes 9 seconds to run y yards, how many minutes [#permalink]
Show Tags
09 Sep 2013, 10:19
caro2789 wrote: If Susan takes 9 seconds to run y yards, how many minutes will it take her to run x yards at the same rate?
A)\(\frac{xy}{9}\)
B)\(\frac{9x}{60y}\)
C)\(\frac{60xy}{9}\)
D)\(\frac{xy}{540}\)
E)\(\frac{540x}{y}\) since the question is asking for the time in minutes we should first convert 9 seconds into minutes to make things easier: \(9\) sec x \(\frac{1 min}{60}\) sec\(= \frac{9}{60}min\) Rate x Time = Dist.\(r\) x \(\frac{9}{60}\) = \(Y\) \(r = \frac{60Y}{9}\) use the same rate as above: Rate x Time = Dist.\(\frac{60Y}{9}\) x \(t\) = \(X\) \(t\) = \(\frac{9X}{60Y}\)
_________________
If my post has contributed to your learning or teaching in any way, feel free to hit the kudos button ^_^



Intern
Joined: 07 Sep 2013
Posts: 25
Concentration: Entrepreneurship
GPA: 3.52

Re: If Susan takes 9 seconds to run y yards, how many minutes [#permalink]
Show Tags
11 Sep 2013, 00:29
If y = 3, and x = 3
then 9 seconds = 3 yards
How many minutes is 3 yards?
Convert seconds to minutes; 9 seconds = 9/60 minutes
Only answer B matches
t1000



Intern
Joined: 23 Sep 2014
Posts: 15

Re: If Susan takes 9 seconds to run y yards, how many minutes [#permalink]
Show Tags
11 Nov 2014, 05:13
Solving these kinds of problems always causes trouble for me. Thats why i like to pick numbers.
Is it correct to do so as follows:
Let's say y equals 10 yards and x equals 100 yards. Which would mean that if those 10 yards are ran in 9 seconds, she runs 100 in 1,5. Then filling in this X and Y in the answer choices should result in 1,5 and if so that one is the correct answer.
9x/60y gives 900/600 which equals 1,5 so this is the right equation. Is this a correct way of solving this or did i get lucky?



SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1857
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)

Re: If Susan takes 9 seconds to run y yards, how many minutes [#permalink]
Show Tags
12 Nov 2014, 01:53
y yards in 9 seconds, so 1 yard in \(\frac{9}{y}\) seconds x yards would take \(\frac{9}{y} * x\) seconds = \(\frac{9x}{60y}\) minutes Answer = B
_________________
Kindly press "+1 Kudos" to appreciate



Math Expert
Joined: 02 Sep 2009
Posts: 39753

Re: If Susan takes 9 seconds to run y yards, how many minutes [#permalink]
Show Tags
12 Nov 2014, 04:31
JoostGrijsen wrote: Solving these kinds of problems always causes trouble for me. Thats why i like to pick numbers.
Is it correct to do so as follows:
Let's say y equals 10 yards and x equals 100 yards. Which would mean that if those 10 yards are ran in 9 seconds, she runs 100 in 1,5. Then filling in this X and Y in the answer choices should result in 1,5 and if so that one is the correct answer.
9x/60y gives 900/600 which equals 1,5 so this is the right equation. Is this a correct way of solving this or did i get lucky? That's correct. Note though, that for plugin method it might happen that for some particular number(s) more than one option may give "correct" answer. In this case just pick some other numbers and check again these "correct" options only. Hope it helps.
_________________
New to the Math Forum? Please read this: 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



Director
Joined: 07 Dec 2014
Posts: 713

If Susan takes 9 seconds to run y yards, how many minutes [#permalink]
Show Tags
26 Nov 2015, 09:21
9 seconds/y yards=(9/60 min)/y yards rate=y/((9/60)=60y/9 yards per minute x yards/(60y/9)=9x/60y minutes



Intern
Joined: 21 Jan 2015
Posts: 19

Re: If Susan takes 9 seconds to run y yards, how many minutes [#permalink]
Show Tags
04 Dec 2016, 20:40
Susan rate= y yds/ 9 seconds. How many minutes to run x yds at the same rate?
Convert yards/seconds into yards/ minutes. (Y yards / 9 seconds) * (60 seconds / 1 min) = 60y yards / 9 minutes. This is rate.
Distance = x yards. Use D=RT to find the time. X = (60y/9) (time) (X / 1)* (9/60y) = 9x/60y
Answer: B




Re: If Susan takes 9 seconds to run y yards, how many minutes
[#permalink]
04 Dec 2016, 20:40







