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C
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Difficulty:
55%
(hard)
Question Stats:
67% (02:44) correct
33%
(01:38)
wrong
based on 6
sessions
History
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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
(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
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19 Jun 2011, 15:09
Kudos
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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
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
03 Dec 2017, 06:33
Kudos
Bookmarks
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: the-third-place-finisher-of-the-allen-county-hot-dog-eating-134234.html
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: the-third-place-finisher-of-the-allen-county-hot-dog-eating-134234.html
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
