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

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

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13 Sep 2008, 07:11
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45% (medium)

Question Stats:

61% (02:06) correct 39% (00:58) wrong based on 257 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: 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.
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Re: Interesting DS [#permalink]

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13 Sep 2008, 09:47
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.
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Re: Interesting DS [#permalink]

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

I got 48 too.
Answer should be C.
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Re: Interesting DS [#permalink]

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

I got 48 too.
Answer should be C.

Quick and simple explanation.
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Re: Interesting DS [#permalink]

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

I got 48 too.
Answer should be C.

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
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Re: Interesting DS [#permalink]

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

I got 48 too.
Answer should be C.

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
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Re: Interesting DS   [#permalink] 26 Dec 2013, 08:29
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# The third-place finisher of the Allen County hot dog eating

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