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When ticket sales began, Pat was the nth customer in line

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When ticket sales began, Pat was the nth customer in line  [#permalink]

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New post Updated on: 21 Sep 2013, 02:51
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Question Stats:

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When ticket sales began, Pat was the nth customer in line for a ticket, and customers purchased their tickets at the rate of x customers per minute. Of the following, which best approximates the time, in minutes, that Pat had to wait in line from the moment ticket sales began?

(A) (n - 1) x
(B) n + x –1
(C) (n-1)/x
(D) x/(n-1)
(E) n/(x-1)

Originally posted by yogachgolf on 15 Nov 2007, 13:46.
Last edited by Bunuel on 21 Sep 2013, 02:51, edited 1 time in total.
Added the OA.
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Re: Ticket Sales  [#permalink]

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New post 15 Nov 2007, 14:36
yogachgolf wrote:
When ticket sales began, Pat was the nth customer in line for a ticket, and customers purchased their tickets at the rate of x customers per minute. Of the following, which best approximates the time, in minutes, that Pat had to wait in line from the moment ticket sales began?

(A) (n - 1) x
(B) n + x –1
(C) (n-1)/x
(D) x/(n-1)
(E) n/(x-1)


C seems the closest.
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New post 15 Nov 2007, 14:41
GMAT TIGER wrote:
yogachgolf wrote:
When ticket sales began, Pat was the nth customer in line for a ticket, and customers purchased their tickets at the rate of x customers per minute. Of the following, which best approximates the time, in minutes, that Pat had to wait in line from the moment ticket sales began?

(A) (n - 1) x
(B) n + x –1
(C) (n-1)/x
(D) x/(n-1)
(E) n/(x-1)


C. (n - 1) / x


it's not precise though is it?

let's say n = 11, and x = 2... then on the basis of C, it should give an answer of 5 mins in line, but surely Pat's in line until the point he/she gets her ticket, which I would have thought was n/x mins... am i wrong?
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Re: Ticket Sales  [#permalink]

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New post 15 Nov 2007, 14:56
1
alrussell wrote:
GMAT TIGER wrote:
yogachgolf wrote:
When ticket sales began, Pat was the nth customer in line for a ticket, and customers purchased their tickets at the rate of x customers per minute. Of the following, which best approximates the time, in minutes, that Pat had to wait in line from the moment ticket sales began?

(A) (n - 1) x
(B) n + x –1
(C) (n-1)/x
(D) x/(n-1)
(E) n/(x-1)


C. (n - 1) / x


it's not precise though is it?

let's say n = 11, and x = 2... then on the basis of C, it should give an answer of 5 mins in line, but surely Pat's in line until the point he/she gets her ticket, which I would have thought was n/x mins... am i wrong?


That's what I thought at first. But there should be 10 people waiting in line before Pat can purchase the ticket...C makes sense now.
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Re: Ticket Sales  [#permalink]

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New post 15 Nov 2007, 14:58
yogachgolf wrote:
alrussell wrote:
GMAT TIGER wrote:
yogachgolf wrote:
When ticket sales began, Pat was the nth customer in line for a ticket, and customers purchased their tickets at the rate of x customers per minute. Of the following, which best approximates the time, in minutes, that Pat had to wait in line from the moment ticket sales began?

(A) (n - 1) x
(B) n + x –1
(C) (n-1)/x
(D) x/(n-1)
(E) n/(x-1)


C. (n - 1) / x


it's not precise though is it?

let's say n = 11, and x = 2... then on the basis of C, it should give an answer of 5 mins in line, but surely Pat's in line until the point he/she gets her ticket, which I would have thought was n/x mins... am i wrong?


That's what I thought at first. But there should be 10 people waiting in line before Pat can purchase the ticket...C makes sense now.


But if it takes say 30 seconds to sell a ticket, then (n -1) / x measures merely the time it takes for Pat to get to the counter... it would take another 30 secs for HER/HIS purchase to be completed no? He / she only leaves the line once that's occurred... I think...
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New post 15 Nov 2007, 15:02
alrussell wrote:
yogachgolf wrote:
alrussell wrote:
GMAT TIGER wrote:
yogachgolf wrote:
When ticket sales began, Pat was the nth customer in line for a ticket, and customers purchased their tickets at the rate of x customers per minute. Of the following, which best approximates the time, in minutes, that Pat had to wait in line from the moment ticket sales began?

(A) (n - 1) x
(B) n + x –1
(C) (n-1)/x
(D) x/(n-1)
(E) n/(x-1)


C. (n - 1) / x


it's not precise though is it?

let's say n = 11, and x = 2... then on the basis of C, it should give an answer of 5 mins in line, but surely Pat's in line until the point he/she gets her ticket, which I would have thought was n/x mins... am i wrong?


That's what I thought at first. But there should be 10 people waiting in line before Pat can purchase the ticket...C makes sense now.


But if it takes say 30 seconds to sell a ticket, then (n -1) / x measures merely the time it takes for Pat to get to the counter... it would take another 30 secs for HER/HIS purchase to be completed no? He / she only leaves the line once that's occurred... I think...


Points taken....but I don't think this question makes these assumptions. Plus the question says which best approximates the time, in minutes,
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New post 15 Nov 2007, 15:05
yogachgolf wrote:
Points taken....but I don't think this question makes these assumptions. Plus the question says which best approximates the time, in minutes,


Yeah I suppose the language is a marker... which is why I answered on that basis, but I do think it's a poorly constructed question...
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Re: Ticket Sales  [#permalink]

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New post 15 Nov 2007, 15:17
alrussell wrote:
GMAT TIGER wrote:
yogachgolf wrote:
When ticket sales began, Pat was the nth customer in line for a ticket, and customers purchased their tickets at the rate of x customers per minute. Of the following, which best approximates the time, in minutes, that Pat had to wait in line from the moment ticket sales began?

(A) (n - 1) x
(B) n + x –1
(C) (n-1)/x
(D) x/(n-1)
(E) n/(x-1)


C. (n - 1) / x


it's not precise though is it?

let's say n = 11, and x = 2... then on the basis of C, it should give an answer of 5 mins in line, but surely Pat's in line until the point he/she gets her ticket, which I would have thought was n/x mins... am i wrong?


if you read the red mark carefully, its clear.

we need to exclude Pat from the line because excluding him only gives the time that is required him to wait. if we donot deduct him (1) from n, then we are including his time as well.
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New post 15 Nov 2007, 15:23
GMAT TIGER wrote:
alrussell wrote:
GMAT TIGER wrote:
yogachgolf wrote:
When ticket sales began, Pat was the nth customer in line for a ticket, and customers purchased their tickets at the rate of x customers per minute. Of the following, which best approximates the time, in minutes, that Pat had to wait in line from the moment ticket sales began?

(A) (n - 1) x
(B) n + x –1
(C) (n-1)/x
(D) x/(n-1)
(E) n/(x-1)


C. (n - 1) / x


it's not precise though is it?

let's say n = 11, and x = 2... then on the basis of C, it should give an answer of 5 mins in line, but surely Pat's in line until the point he/she gets her ticket, which I would have thought was n/x mins... am i wrong?


if you read the red mark carefully, its clear.

we need to exclude Pat from the line because excluding him only gives the time that is required him to wait. if we donot deduct him (1) from n, then we are including his time as well.


She / he is still waiting in line... or at the very least it's entirely ambiguous what "waiting in line" means. It's perfectly possible that her time buying the ticket would constitute waiting in line.
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Re: Ticket Sales  [#permalink]

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New post 15 Nov 2007, 15:25
alrussell wrote:
GMAT TIGER wrote:
alrussell wrote:
GMAT TIGER wrote:
yogachgolf wrote:
When ticket sales began, Pat was the nth customer in line for a ticket, and customers purchased their tickets at the rate of x customers per minute. Of the following, which best approximates the time, in minutes, that Pat had to wait in line from the moment ticket sales began?

(A) (n - 1) x
(B) n + x –1
(C) (n-1)/x
(D) x/(n-1)
(E) n/(x-1)


C. (n - 1) / x


it's not precise though is it?

let's say n = 11, and x = 2... then on the basis of C, it should give an answer of 5 mins in line, but surely Pat's in line until the point he/she gets her ticket, which I would have thought was n/x mins... am i wrong?


if you read the red mark carefully, its clear.

we need to exclude Pat from the line because excluding him only gives the time that is required him to wait. if we donot deduct him (1) from n, then we are including his time as well.


She / he is still waiting in line... or at the very least it's entirely ambiguous what "waiting in line" means. It's perfectly possible that her time buying the ticket would constitute waiting in line.


i would say waiting in line and leaving the line for buying tickets are different.
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New post 15 Nov 2007, 15:28
GMAT TIGER wrote:

i would say waiting in line and leaving the line for buying tickets are different.


What's to say you leave the line to purchase the ticket?

It's entirely possible that the person at the front of the line, is the one buying the ticket, and ipso facto, part of the line.

I suppose it doesn't matter, but I think there is a distinct ambiguity in the question that could eat up time unfairly.
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New post 15 Nov 2007, 15:31
alrussell wrote:
GMAT TIGER wrote:

i would say waiting in line and leaving the line for buying tickets are different.


What's to say you leave the line to purchase the ticket?

It's entirely possible that the person at the front of the line, is the one buying the ticket, and ipso facto, part of the line.

I suppose it doesn't matter, but I think there is a distinct ambiguity in the question that could eat up time unfairly.


lets understand this way:

waiting in line (no ticket bying) and ticket buying are two different things.
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New post 15 Nov 2007, 15:33
GMAT TIGER wrote:
alrussell wrote:
GMAT TIGER wrote:

i would say waiting in line and leaving the line for buying tickets are different.


What's to say you leave the line to purchase the ticket?

It's entirely possible that the person at the front of the line, is the one buying the ticket, and ipso facto, part of the line.

I suppose it doesn't matter, but I think there is a distinct ambiguity in the question that could eat up time unfairly.


lets understand this way:

waiting in line (no ticket bying) and ticket buying are two different things.


I disagree that the two are necessarily mutually exclusive. It's a matter of debate and ambiguity... if you are "waiting in line" for a ticket, then you dont cease to wait in that line until you receive that ticket, and you dont receive that ticket until you have completed your purchase. Your assumption that your purchase takes place out of the physical confines of the queue is without basis. As said - the question is ambiguous.
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New post 15 Nov 2007, 17:42
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Well, such questions are purely formula based and dont need too much of logic.

In this case its and Distance, time, and speed, problem, which can be worded in different ways.

Here distance is n-1, speed is x, and since time has been asked in minutes, so the answer will be Distance / time = (n-1)/X

PS: Such questions will be in the list of first 5 questions in GMAT

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New post 15 Nov 2007, 17:45
Amardeep Sharma wrote:
Well, such questions are purely formula based and dont need too much of logic.

In this case its and Distance, time, and speed, problem, which can be worded in different ways.

Here distance is n-1, speed is x, and since time has been asked in minutes, so the answer will be Distance / time = (n-1)/X

PS: Such questions will be in the list of first 5 questions in GMAT

Amar


I agree - I think the choices that are given make the point clear. Had they however offered n/x as an option, I think it would have been unclear which they were asking for. I don't think the question is as well worded as it could be.
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Re: When ticket sales began, Pat was the nth customer in line  [#permalink]

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New post 20 Sep 2013, 18:44
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Rule of three:

x- 1 minute
n-1 - Time

Time = n-1 / x

Gimme Kudos!
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Re: When ticket sales began, Pat was the nth customer in line  [#permalink]

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New post 20 Sep 2013, 20:10
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yogachgolf wrote:
When ticket sales began, Pat was the nth customer in line for a ticket, and customers purchased their tickets at the rate of x customers per minute. Of the following, which best approximates the time, in minutes, that Pat had to wait in line from the moment ticket sales began?

(A) (n - 1) x
(B) n + x –1
(C) (n-1)/x
(D) x/(n-1)
(E) n/(x-1)


I think C seems to be correct. If Pat was 11th in line, he would have to wait for 10 customers to clear their lines. If the rate is 2 customers per minute, then it'd take 10/2 or, if expressed in terms of n and x = (n-1)/2.
IMO C.
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Re: When ticket sales began, Pat was the nth customer in line  [#permalink]

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New post 05 Oct 2015, 07:12
Time in minutes that Pat had to wait before his turn = (n-1)/x
Suppose Pat is 10th in line
and rate at which customers purchase tickets - 3 per min

Time in minutes that Pat had to wait before his turn = 9/3 = 3

:)
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New post 26 Sep 2016, 22:35
let x be 2 mins and n be 20

so 2 customers per minute and to reach 20 it would take 9.5 minutes

substituting x and n values in the options only c satisfies the condition. Option C
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When ticket sales began, Pat was the nth customer in line  [#permalink]

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New post 17 Mar 2019, 00:49
Use r*t=w formula

r=x/min
t=unknown
w=n-1

t=(n-1)/x

done
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When ticket sales began, Pat was the nth customer in line   [#permalink] 17 Mar 2019, 00:49
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