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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: 339

Kudos [?]: 246 [0], given: 87

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

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19 Jun 2011, 14:55
00:00

Difficulty:

45% (medium)

Question Stats:

60% (01:17) correct 40% (00:49) wrong based on 10 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
[Reveal] Spoiler: OA

Last edited by siddhans on 20 Jun 2011, 22:31, edited 1 time in total.

Kudos [?]: 246 [0], given: 87

Senior Manager
Joined: 29 Jan 2011
Posts: 339

Kudos [?]: 246 [0], given: 87

### Show Tags

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

Kudos [?]: 246 [0], given: 87

Re: MGMAT DS   [#permalink] 19 Jun 2011, 15:09
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