It is currently 22 Nov 2017, 23:14

### 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 June
Open Detailed Calendar

# The third-place finisher of the Allen County hot dog eating

Author Message
TAGS:

### Hide Tags

Director
Joined: 20 Sep 2006
Posts: 653

Kudos [?]: 135 [0], given: 7

The third-place finisher of the Allen County hot dog eating [#permalink]

### Show Tags

13 Sep 2008, 07:11
8
This post was
BOOKMARKED
00:00

Difficulty:

45% (medium)

Question Stats:

63% (01:01) correct 37% (00:56) wrong based on 305 sessions

### HideShow timer Statistics

The third-place finisher of the Allen County hot dog eating contest, in which each contestant was given an equal amount of time to eat as many hot dogs as possible, required an average of 15 seconds to consume each hot dog. How many hot dogs did the winner eat?

(1) The winner consumed 24 more hot dogs than did the third-place finisher.

(2) The winner consumed hot dogs at double the rate of the third-place finisher.

OPEN DISCUSSION OF THIS QUESTION IS HERE: the-third-place-finisher-of-the-allen-county-hot-dog-eating-134234.html
[Reveal] Spoiler: OA

Last edited by fameatop on 29 Jul 2013, 08:33, edited 1 time in total.

Kudos [?]: 135 [0], given: 7

SVP
Joined: 07 Nov 2007
Posts: 1790

Kudos [?]: 1089 [0], given: 5

Location: New York

### Show Tags

13 Sep 2008, 09:47
1
This post was
BOOKMARKED
rao_1857 wrote:
The third-place finisher of the Allen County hot dog eating contest, in which each contestant was given an equal amount of time to eat as many hot dogs as possible, required an average of 15 seconds to consume each hot dog. How many hot dogs did the winner eat?

(1) The winner consumed 24 more hot dogs than did the third-place finisher.

(2) The winner consumed hot dogs at double the rate of the third-place finisher.

1)

No hot dogs consumed by third placer=N3 = t *1/15
N3+24=t*r

insufficient.. we need to know the t or r

2)
N3= t*1/15
N1 = t*2/15
insuffcient

combined.

N1=2N3=N3+24

N3=24
N1=48
sufficient.
_________________

Smiling wins more friends than frowning

Kudos [?]: 1089 [0], given: 5

Senior Manager
Joined: 07 Jan 2008
Posts: 398

Kudos [?]: 305 [0], given: 0

### Show Tags

14 Sep 2008, 02:17
2x=x+24.

I got 48 too.

Kudos [?]: 305 [0], given: 0

SVP
Joined: 17 Jun 2008
Posts: 1534

Kudos [?]: 280 [0], given: 0

### Show Tags

15 Sep 2008, 00:19
lexis wrote:
2x=x+24.

I got 48 too.

Quick and simple explanation.

Kudos [?]: 280 [0], given: 0

Current Student
Joined: 06 Sep 2013
Posts: 1970

Kudos [?]: 744 [0], given: 355

Concentration: Finance

### Show Tags

26 Dec 2013, 07:59
scthakur wrote:
lexis wrote:
2x=x+24.

I got 48 too.

Quick and simple explanation.

Would someone please elaborate with further detail on this question?
Will be happy to throw some christmas Kudos I got left

Cheers!
J

Kudos [?]: 744 [0], given: 355

Math Expert
Joined: 02 Sep 2009
Posts: 42305

Kudos [?]: 133081 [2], given: 12403

### Show Tags

26 Dec 2013, 08:29
2
KUDOS
Expert's post
jlgdr wrote:
scthakur wrote:
lexis wrote:
2x=x+24.

I got 48 too.

Quick and simple explanation.

Would someone please elaborate with further detail on this question?
Will be happy to throw some christmas Kudos I got left

Cheers!
J

The third-place finisher of the Allen County hot dog eating contest, in which each contestant was given an equal amount of time to eat as many hot dogs as possible, required an average of 15 seconds to consume each hot dog. How many hot dogs did the winner eat?

Information about 15 seconds is quite redundant. Say the third-place finisher ate T hot dogs and the winner ate W hot dogs.

(1) The winner consumed 24 more hot dogs than did the third-place finisher --> W=T+24 --> one equation two unknowns. Not sufficient.

(2) The winner consumed hot dogs at double the rate of the third-place finisher --> at double rate the winner would consume twice as many hot dogs, so W=2T --> one equation two unknowns. Not sufficient.

(1)+(2) We have two distinct linear equations with two unknowns, so we can get the single numerical values of T and W: T+24=2T --> T=24. Sufficient.

OPEN DISCUSSION OF THIS QUESTION IS HERE: the-third-place-finisher-of-the-allen-county-hot-dog-eating-134234.html
_________________

Kudos [?]: 133081 [2], given: 12403

Re: Interesting DS   [#permalink] 26 Dec 2013, 08:29
Display posts from previous: Sort by