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C
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Difficulty:
35%
(medium)
Question Stats:
68% (01:46) correct
32%
(01:56)
wrong
based on 658
sessions
History
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Not Attempted Yet
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
26 Dec 2013, 08:29
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jlgdr
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
General Discussion
13 Sep 2008, 09:47
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rao_1857
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.
