GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 11 Dec 2018, 13:09

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

## Events & Promotions

###### Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### Free GMAT Prep Hour

December 11, 2018

December 11, 2018

09:00 PM EST

10:00 PM EST

Strategies and techniques for approaching featured GMAT topics. December 11 at 9 PM EST.
• ### The winning strategy for 700+ on the GMAT

December 13, 2018

December 13, 2018

08:00 AM PST

09:00 AM PST

What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.

# If Susan takes 9 seconds to run y yards, how many minutes will it take

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 will it take  [#permalink]

### Show Tags

06 Sep 2013, 02:39
1
8
00:00

Difficulty:

35% (medium)

Question Stats:

72% (01:31) correct 28% (01:30) wrong based on 337 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) $$\frac{540x}{y}$$
Math Expert
Joined: 02 Sep 2009
Posts: 51100
Re: If Susan takes 9 seconds to run y yards, how many minutes will it take  [#permalink]

### Show Tags

06 Sep 2013, 02:44
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)$$\frac{540x}{y}$$

Rate*Time=Distance.

Since, Susan takes 9 seconds to run $$y$$ yards, then her rate is $$Rate=\frac{Distance}{Time}=\frac{y}{9}$$ yards per second.

To run $$x$$ yards at this rate she'll need $$Time=\frac{Distance}{Rate}=\frac{x}{(\frac{y}{9})}=\frac{9x}{y}$$ seconds, which is $$\frac{9x}{60y}$$ minutes.

_________________
Senior Manager
Joined: 13 May 2013
Posts: 425
Re: If Susan takes 9 seconds to run y yards, how many minutes will it take  [#permalink]

### Show Tags

09 Sep 2013, 08:27
1
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.

P.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: 67
Location: United States
Re: If Susan takes 9 seconds to run y yards, how many minutes will it take  [#permalink]

### Show Tags

09 Sep 2013, 09:19
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: 22
Concentration: Entrepreneurship
GPA: 3.52
Re: If Susan takes 9 seconds to run y yards, how many minutes will it take  [#permalink]

### Show Tags

10 Sep 2013, 23:29
1
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

t1000
Intern
Joined: 23 Sep 2014
Posts: 14
Re: If Susan takes 9 seconds to run y yards, how many minutes will it take  [#permalink]

### Show Tags

11 Nov 2014, 04:13
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: 1825
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: If Susan takes 9 seconds to run y yards, how many minutes will it take  [#permalink]

### Show Tags

12 Nov 2014, 00:53
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

_________________

Kindly press "+1 Kudos" to appreciate

Math Expert
Joined: 02 Sep 2009
Posts: 51100
Re: If Susan takes 9 seconds to run y yards, how many minutes will it take  [#permalink]

### Show Tags

12 Nov 2014, 03:31
1
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 plug-in 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.
_________________
Math Expert
Joined: 02 Sep 2009
Posts: 51100
If Susan takes 9 seconds to run y yards, how many minutes will it take  [#permalink]

### Show Tags

24 Nov 2014, 06:28
1
1
Intern
Joined: 24 Jun 2014
Posts: 38
Re: If Susan takes 9 seconds to run y yards, how many minutes will it take  [#permalink]

### Show Tags

24 Nov 2014, 08:16
1
She runs x yards in 9x/y seconds =9x/60y minutes.
Senior Manager
Joined: 17 Mar 2014
Posts: 377
Re: If Susan takes 9 seconds to run y yards, how many minutes will it take  [#permalink]

### Show Tags

24 Nov 2014, 12:18
1
1
This question is asking Time in minutes.
Susan takes $$9$$ seconds to run $$Y$$ yards. So her speed is $$\frac{Y}{9}$$yards per second.

Let us convert seconds to minutes.

Speed in minutes: $$\frac{60Y}{9}$$ yards per minute

$$Time= \frac{Distance}{Speed}$$

$$Time$$ $$=$$$$\frac{x}{60Y/9}$$ minutes $$=$$$$\frac{9x}{60Y}$$ minutes

SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1825
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: If Susan takes 9 seconds to run y yards, how many minutes will it take  [#permalink]

### Show Tags

24 Nov 2014, 19:09
1
Answer = B = $$\frac{9x}{60y}$$

y Yards >> Time taken = 9 seconds = $$\frac{9}{60}$$ Minutes

1 Yard $$= \frac{9}{60} * \frac{1}{y} = \frac{9}{60y}$$ Minutes

For x Yards, time required $$= \frac{9}{60y} * x = \frac{9x}{60y}$$
_________________

Kindly press "+1 Kudos" to appreciate

Manager
Joined: 21 Jan 2014
Posts: 62
WE: General Management (Non-Profit and Government)
Re: If Susan takes 9 seconds to run y yards, how many minutes will it take  [#permalink]

### Show Tags

25 Nov 2014, 04:29
1
Susan rate is y/9 yard/second =60y/9 yard/minute.

So to cover x yard , time =x/(60y/9)=9x/60y

Intern
Joined: 20 Jan 2013
Posts: 33
Re: If Susan takes 9 seconds to run y yards, how many minutes will it take  [#permalink]

### Show Tags

25 Nov 2014, 04:56
1
Susan runs x yards in 9x/y seconds
Let’s convert this into minutes and we will get time=9x/60y minutes.
_________________

_________________

KUDOS is always a good way to thank anyone.
It encourages someone to post more questions and also answers.

KUDOS Please if My post helps you in anyway. Your Kudos keep me alive [/color]

Math Expert
Joined: 02 Sep 2009
Posts: 51100
Re: If Susan takes 9 seconds to run y yards, how many minutes will it take  [#permalink]

### Show Tags

25 Nov 2014, 07:02
Bunuel wrote:
Bunuel wrote:

Tough and Tricky questions: Distance/Rate.

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) xy/9
B) 9x/(60y)
C) 60xy/9
D) xy/540
E) 540x/y

Kudos for a correct solution.

Source: Chili Hot GMAT

Similar question to practice: if-juan-takes-11-seconds-to-run-y-yards-how-many-seconds-138731.html
_________________
VP
Joined: 07 Dec 2014
Posts: 1128
Re: If Susan takes 9 seconds to run y yards, how many minutes will it take  [#permalink]

### Show Tags

26 Nov 2015, 08:21
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: 39
Location: United States
Schools: Booth PT '20
GMAT 1: 660 Q44 V38
GPA: 3.2
Re: If Susan takes 9 seconds to run y yards, how many minutes will it take  [#permalink]

### Show Tags

04 Dec 2016, 19:40
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

Intern
Joined: 25 Apr 2017
Posts: 46
GMAT 1: 700 Q49 V35
WE: General Management (Education)
Re: If Susan takes 9 seconds to run y yards, how many minutes will it take  [#permalink]

### Show Tags

17 May 2017, 20:43
She runs y yards in 9 seconds (or 9/60 minutes)
So, using the Unitary method, she runs 1 yard in (9/60y) Minutes.
She runs x yards = 9x/60y minutes.
Manager
Status: Gmat lover
Joined: 27 Mar 2017
Posts: 85
Location: India
Schools: IIMA , IIMA PGPX"18
GMAT 1: 710 Q49 V39
GPA: 3.91
Re: If Susan takes 9 seconds to run y yards, how many minutes will it take  [#permalink]

### Show Tags

19 May 2017, 02:29
USING.....
Speed=Distance/ Time
Susan runs y yards in 9 seconds
As we know, 1 minutes = 60 seconds
So, Susan runs y yards in 9/60 minutes
Now, using speed formula we can find her speed that will be 9/60y
Time in minutes she will take to run x yards at the same rate will be
= 9x/60y minutes.
_________________

_________________
Rules for posting in verbal Gmat forum, read it before posting anything in verbal forum
Giving me + 1 kudos if my post is valuable with you

The more you like my post, the more you share to other's need.

“The great secret of true success, of true happiness, is this: the man or woman who asks for no return, the perfectly unselfish person, is the most successful.”
-Swami Vivekananda

Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4278
Location: United States (CA)
Re: If Susan takes 9 seconds to run y yards, how many minutes will it take  [#permalink]

### Show Tags

22 May 2017, 17:36
Bunuel wrote:

Tough and Tricky questions: Distance/Rate.

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) xy/9
B) 9x/(60y)
C) 60xy/9
D) xy/540
E) 540x/y

We are given that the rate of Susan is y/9 yards per second and we need to determine how many minutes it will take her to run x yards.

time = distance/rate

time = x/(y/9) = 9x/y seconds

Let’s convert 9x/y seconds to minutes:

9x/y seconds = (9x/y)/60 = 9x/(60y) minutes

_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: If Susan takes 9 seconds to run y yards, how many minutes will it take &nbs [#permalink] 22 May 2017, 17:36

Go to page    1   2    Next  [ 21 posts ]

Display posts from previous: Sort by