It is currently 17 Dec 2017, 02:16

### 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

Manager
Joined: 22 Apr 2011
Posts: 206

Kudos [?]: 149 [1], given: 18

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

### Show Tags

09 Jun 2012, 16:51
1
KUDOS
4
This post was
BOOKMARKED
00:00

Difficulty:

45% (medium)

Question Stats:

66% (01:06) correct 34% (01:16) wrong based on 354 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.
[Reveal] Spoiler: OA

_________________

some people are successful, because they have been fortunate enough and some people earn success, because they have been determined.....

please press kudos if you like my post.... i am begging for kudos...lol

Kudos [?]: 149 [1], given: 18

Senior Manager
Joined: 13 Jan 2012
Posts: 304

Kudos [?]: 230 [3], given: 38

Weight: 170lbs
GMAT 1: 740 Q48 V42
GMAT 2: 760 Q50 V42
WE: Analyst (Other)

### Show Tags

09 Jun 2012, 17:02
3
KUDOS
1
This post was
BOOKMARKED
Interesting problem. We know that the 3rd place finisher had the same amount of time as everyone else and ate his/her hot dogs at an average pace of 15 seconds per dog. So third place finisher ate x/15 hot dogs. So in order to solve this problem, we need to know the value of x.

1)

The winner ate (x/15) + 24 hot dogs. We can't figure out the value of x from this.

So insufficient.

BCE

2)

This tells us that the winner ate 2 * (x/15) hot dogs. Again, not enough to know for sure.

Insufficient.

1+2)

We have two equations here that refer to the same thing...

(x/15) + 24 = 2 * (x/15)

We can solve for x! Sufficient.

Kudos [?]: 230 [3], given: 38

Math Expert
Joined: 02 Sep 2009
Posts: 42646

Kudos [?]: 135919 [6], given: 12716

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

### Show Tags

10 Jun 2012, 01:33
6
KUDOS
Expert's post
1
This post was
BOOKMARKED
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.

_________________

Kudos [?]: 135919 [6], given: 12716

Manager
Joined: 28 May 2014
Posts: 60

Kudos [?]: 2 [0], given: 31

Schools: NTU '16
GMAT 1: 620 Q49 V27
Re: The third-place finisher of the Allen County hot dog eating [#permalink]

### Show Tags

17 Jul 2014, 07:44

Kudos [?]: 2 [0], given: 31

Math Expert
Joined: 02 Sep 2009
Posts: 42646

Kudos [?]: 135919 [0], given: 12716

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

### Show Tags

17 Jul 2014, 07:53
sri30kanth wrote:

x is the total time given to each contestant to eat. Since the third-place finisher required an average of 15 seconds to consume each hot dog, then he/she ate x/15 hot dogs.

Another solution which does not use that bit of information is here: the-third-place-finisher-of-the-allen-county-hot-dog-eating-134234.html#p1095045

Hope it helps.
_________________

Kudos [?]: 135919 [0], given: 12716

Board of Directors
Joined: 17 Jul 2014
Posts: 2698

Kudos [?]: 451 [0], given: 209

Location: United States (IL)
Concentration: Finance, Economics
GMAT 1: 650 Q49 V30
GPA: 3.92
WE: General Management (Transportation)
Re: The third-place finisher of the Allen County hot dog eating [#permalink]

### Show Tags

06 Oct 2016, 05:45
alchemist009 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.

I thought that I was looking at 700 lvl question..and did not believe it could be that simple...
1 and 2 alone are not sufficient.
1 - we don't know how many hot dogs the third place finisher ate
2 - we don't have any piece of absolute value.

1+2
we have the rate of 1st place, and we have a piece of absolute value

should be sufficient. C

Kudos [?]: 451 [0], given: 209

Intern
Joined: 26 Jul 2016
Posts: 24

Kudos [?]: 7 [0], given: 42

Concentration: Finance, Strategy
WE: Analyst (Energy and Utilities)
The third-place finisher of the Allen County hot dog eating [#permalink]

### Show Tags

29 Oct 2016, 22:01
alchemist009 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.

From 1 + 2

$$\frac{(X+24)}{(30)} = \frac{(X)}{(15)}$$

15x +360 = 30x
15x=360
x=24

Note : Catch is, we have to equate the times of both contestants.

All the best.

Kudos [?]: 7 [0], given: 42

Manager
Joined: 23 Dec 2013
Posts: 235

Kudos [?]: 16 [0], given: 21

Location: United States (CA)
GMAT 1: 760 Q49 V44
GPA: 3.76
Re: The third-place finisher of the Allen County hot dog eating [#permalink]

### Show Tags

29 May 2017, 09:56
alchemist009 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.

The goal is to find the number of hot dogs that the winner ate. Incidentally, the average time per hot dog is not actually relevant to the problem.

Statement 1) W = T + 24

The winner ate 24 more hotdogs than the third place finisher. However, we don't know the value of either. Insufficient.

Statement 2) W = 2T. We know this fact is true because the time for each is the same. So if the winner has twice the rate of the third place finisher, then he did twice as much work (eating hot dogs) in the same amount of time. So he ate twice as many hotdogs. However, similar to statement 1, this statement is insufficient.

Statements 1+2) W = T + 24 and W = 2T.

Sufficient. We have two equations and two unknowns.

Kudos [?]: 16 [0], given: 21

Re: The third-place finisher of the Allen County hot dog eating   [#permalink] 29 May 2017, 09:56
Display posts from previous: Sort by