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On her way home from work, Janet drives through several

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On her way home from work, Janet drives through several  [#permalink]

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New post 31 Mar 2008, 12:57
1
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A
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E

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On her way home from work, Janet drives through several tollbooths. Is there a pair of these tollbooths that are less than 10 miles apart?

(1) The first tollbooth and the last tollbooth are 25 miles apart.
(2) Janet drives through 4 tollbooths on her way home from work.
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On her way home from work, Janet drives through several  [#permalink]

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New post 24 Nov 2010, 11:35
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VeritasPrepKarishma wrote:
weakVerbal wrote:
janani wrote:
c


Very Tricky....


Since it is not mentioned in the question that the tollbooths are evenly spaced, you cannot assume it. Answer will be (E).
If it is indeed a GMAT Prep question, it would be a very very old question with no relevance now.


On her way home from work, Janet drives through several tollbooths. Is there a pair of these tollbooths that are less than 10 miles apart?

(1) The first tollbooth and the last tollbooth are 25 miles apart --> even if we take several to mean more than 2, still (1) is not sufficient as we can have 3 tollbooths as shown below:
|---(12.5)---|---(12.5)---| (answer No) OR |-(2.5)-|-----(22.5)-----| (answer Yes).

(2) Janet drives through 4 tollbooths on her way home from work. Clearly insufficient.

(1)+(2) We know that the first tollbooth and the last tollbooth are 25 miles apart AND that there are total of 4 tollbooths:
first-----(25)-----last
Now, we cannot place 2 more tollbooths between the first one and the last one (the fourth) so that at least one pair of tollbooths won't be less than 10 miles apart (no matter whether they are evenly spaced or not). Average distance, in case tollbooths are evenly spaced will be 8.(3), so at least one pair must be less than or equal to this distance as if all pairs are more than 8.(3) miles apart then the distance between the first and the last will be more than 25 miles. Sufficient.

Answer: C.
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Re: DS: Tollbooths  [#permalink]

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New post 31 Mar 2008, 13:27
I got this question from the GMATprep and scored 45 on the math section. I felt this question was tricky because I didn't know whether to assume that the tollbooths were evenly spaced. It would be a straight forward question if the tollbooths are evenly spaced. Should we assume that?
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Re: DS: Tollbooths  [#permalink]

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New post 02 Apr 2008, 21:20
On her way home from work, Janet drives through several tollbooths. Is there a pair of these tollbooths that are less than 10 miles apart?

(1) The first tollbooth and the last tollbooth are 25 miles apart

(2) Janet drives through 4 tollbooths on her way home from work.


1) alone doesnt answer the question as i donot know the no of booths shw passes on her way
2) alone doesnt anwer the ques as i donot know the distance she travels

both 1) and 2) taken together will also not answer the question as i dont know if the distance between the booths

so answer is cannot be answered
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Re: DS: Tollbooths  [#permalink]

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New post 02 Apr 2008, 21:33
You dont have to assume here that the distance is equal.
(1) not suff
(2) not suf
(1) (2) we know that The first tollbooth and the last tollbooth are 25 miles apart and there are 4 tollbooths on the way. Try to imagine the toolbooths: 2 at 11 miles, remain 14 miles but there is another tollbooths to put. So it has to be a pair with less than 10 miles between them.
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Re: DS: Tollbooths  [#permalink]

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New post 02 Apr 2008, 21:40
tarek99 wrote:
I got this question from the GMATprep and scored 45 on the math section. I felt this question was tricky because I didn't know whether to assume that the tollbooths were evenly spaced. It would be a straight forward question if the tollbooths are evenly spaced. Should we assume that?


Should not assume anything if the text doesnt tell you!
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Re: DS: Tollbooths  [#permalink]

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New post 03 Apr 2008, 03:47
Tricky question, I was also lured to pick C and this could happen, if these kinds of questions come at the end of GMAT questions. You are right sondenso :shock:
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Re: DS: Tollbooths  [#permalink]

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New post 28 Apr 2008, 17:05
Is it just me, or does several indicate more than 2? Given that reasoning my answer is A.
I know the OA is C.

Any thoughts?
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Re: DS: Tollbooths  [#permalink]

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New post 28 Apr 2008, 19:43
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tarek99 wrote:
On her way home from work, Janet drives through several tollbooths. Is there a pair of these tollbooths that are less than 10 miles apart?

(1) The first tollbooth and the last tollbooth are 25 miles apart

(2) Janet drives through 4 tollbooths on her way home from work.

(1) 2 tollbooths=no. 50 toll booths between the 1st and last=yes (that's a lot of stopping!). INSUFFICIENT, eliminate A and D.
(2) 4 tollbooths each 11 miles apart=no. 4 toolbooths each 9 miles apart=yes. INSUFFICIENT, eliminate B.
(1)+(2) There's no way to partition 4 tollbooths where the first and last are 25 miles apart without putting 2 within 10 miles of each other. Eliminate E.

Answer: C.

x-ALI-x wrote:
Is it just me, or does several indicate more than 2? Given that reasoning my answer is A.
I know the OA is C.

Any thoughts?

My interpretation of several is 2 or more.
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Re: DS: Tollbooths  [#permalink]

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New post 24 Nov 2010, 10:52
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weakVerbal wrote:
janani wrote:
c


Very Tricky....


Since it is not mentioned in the question that the tollbooths are evenly spaced, you cannot assume it. Answer will be (E).
If it is indeed a GMAT Prep question, it would be a very very old question with no relevance now.
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Re: DS: Tollbooths  [#permalink]

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New post 24 Nov 2010, 11:55
Oh yes of course. I got so lost in the 'evenly spaced' debate, I didn't focus on the actual question!
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Re: On her way home from work, Janet drives through several  [#permalink]

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New post 20 Dec 2017, 08:02
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tarek99 wrote:
On her way home from work, Janet drives through several tollbooths. Is there a pair of these tollbooths that are less than 10 miles apart?

(1) The first tollbooth and the last tollbooth are 25 miles apart.
(2) Janet drives through 4 tollbooths on her way home from work.


We are given that Janet drives through several tollbooths on her way home from work. We need to determine whether there is a pair of tollbooths that are less than 10 miles apart.

Statement One Alone:

The first tollbooth and the last tollbooth are 25 miles apart.

Since we do not know the number of tollbooths between her home and her work, we cannot determine whether there is a pair of these tollbooths that are less than 10 miles apart.

For example, if there are only two tollbooths, then they are 25 miles apart and thus greater than 10 miles apart. However, if there are three tollbooths, there could be a pair of tollbooths that are less than 10 miles apart. Statement one alone is not sufficient. We can eliminate answer choice A.

Statement Two Alone:

Janet drives through 4 tollbooths on her way home from work.

Since we do not know the distance between her home and her work, we cannot determine whether there is a pair of tollbooths that are less than 10 miles apart. Statement two alone is not sufficient. We can eliminate answer choice B.

Statements One and Two Together:

From statements one and two, we know that the distance between the 1st and 4th tollbooths is 25 miles, which means on average, approximately 8 miles are between each consecutive tollbooth. For example, it’s possible that the distances between the 1st and 2nd tollbooths, 2nd and 3rd tollbooths, and 3rd and 4th tollbooths are, respectively, 8 miles, 8 miles, and 9 miles. In this case, we have a pair (actually three pairs) of tollbooths that are less than 10 miles apart. Furthermore, regardless of how we adjust the number of miles for the three distances, there must be at least one pair of tollbooths less than 10 miles apart. For example, let’s say the distance between the 1st and 2nd tollbooths was increased to 10 miles and the distance between the 2nd and 3rd tollbooths was increased to 12 miles; then, the distance between the 3rd and 4th tollbooths would have to be 3 miles, which is less than 10 miles. Thus, the two statements together are sufficient.

Answer: C
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Re: On her way home from work, Janet drives through several  [#permalink]

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New post 02 Jul 2019, 08:43
Answer is C, evenly spaced or not.
There are total 25 miles and 4 tool both, so one of them has to be <10mile apart.
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Re: On her way home from work, Janet drives through several   [#permalink] 02 Jul 2019, 08:43
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