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

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Senior Manager
Joined: 29 Jan 2011
Posts: 295
The third-place finisher of the Allen County hot dog eating  [#permalink]

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Updated on: 20 Jun 2011, 22:31
00:00

Difficulty:

55% (hard)

Question Stats:

67% (01:22) correct 33% (00:49) wrong based on 12 sessions

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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: http://gmatclub.com/forum/the-third-pla ... 34234.html

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Originally posted by siddhans on 19 Jun 2011, 14:55.
Last edited by siddhans on 20 Jun 2011, 22:31, edited 1 time in total.
Senior Manager
Joined: 29 Jan 2011
Posts: 295
Re: The third-place finisher of the Allen County hot dog eating  [#permalink]

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19 Jun 2011, 15:09
Let ‘W’ be the amount of hot-dogs eaten by winner
And ‘T’ be amount of hotdogs eaten by Third place

St1:

W=T+24 -------(1)  Insufficient

St2 :

Rate X Time = Work

Rate(W) = W/t

Rate(T) = T/t

W/t = 2 T/t

Therefore, W = 2T ---------- (2)  Insufficient

From (1) and (2)

2T = T+24

T=24 and W=48

Hence C
Math Expert
Joined: 02 Sep 2009
Posts: 50009
Re: The third-place finisher of the Allen County hot dog eating  [#permalink]

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03 Dec 2017, 06:33
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: http://gmatclub.com/forum/the-third-pla ... 34234.html

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________
Re: The third-place finisher of the Allen County hot dog eating &nbs [#permalink] 03 Dec 2017, 06:33
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