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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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New post 19 Jun 2011, 13:55
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A
B
C
D
E

Difficulty:

  45% (medium)

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
[Reveal] Spoiler: OA

Last edited by siddhans on 20 Jun 2011, 21:31, edited 1 time in total.

Kudos [?]: 248 [0], given: 87

Senior Manager
Senior Manager
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Joined: 29 Jan 2011
Posts: 336

Kudos [?]: 248 [0], given: 87

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

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New post 19 Jun 2011, 14:09
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

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

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New post 03 Dec 2017, 05:33
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.

Answer: C.

OPEN DISCUSSION OF THIS QUESTION IS HERE: http://gmatclub.com/forum/the-third-pla ... 34234.html
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Re: The third-place finisher of the Allen County hot dog eating   [#permalink] 03 Dec 2017, 05:33
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