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If John takes 12 minutes to eat x hotdogs, how many seconds will it ta
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Updated on: 27 Sep 2015, 15:50
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If John takes 12 minutes to eat x hotdogs, how many seconds will it take him to eat z hot dogs, assuming he continues to eat at the same rate? a. 720z/x b. 12x/z c. x/12z d. 720/xz e. xz/12
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Originally posted by pmklings on 27 Sep 2015, 15:28.
Last edited by ENGRTOMBA2018 on 27 Sep 2015, 15:50, edited 1 time in total.
Renamed the topic



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Re: If John takes 12 minutes to eat x hotdogs, how many seconds will it ta
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27 Sep 2015, 15:53
pmklings wrote: If John takes 12 minutes to eat x hotdogs, how many seconds will it take him to eat z hot dogs, assuming he continues to eat at the same rate?
a. 720z/x
b. 12x/z
c. x/12z
d. 720/xz
e. xz/12 For questions like these, it is always beneficial to assume certain values for x and z. Let x=12 and z=24. You have 1 min/hotdog and thus for 24 hotdogs, you need 24 minutes = 24*60=1440 seconds. Analyse the options: a. 720z/x = 1440, keep. b. 12x/z = 6 seconds. Eliminate.c. x/12z = 1/24 seconds. Eliminate.d. 720/xz = 2.5 seconds. Eliminate.e. xz/12 = 24 seconds. Eliminate.A is the correct answer.



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Re: If John takes 12 minutes to eat x hotdogs, how many seconds will it ta
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27 Sep 2015, 17:37
Hi pmklings, TESTing VALUES (the approach used by Engr2012) works perfectly on these types of questions. You can solve it mathematically too... Algebraically, this is just a 'rate' question. From the first sentence, we know that it takes 12 minutes to eat X hotdogs. 12 minutes = 12(60) = 720 seconds. Thus... 720/X = the time (in seconds) that it takes to eat 1 hotdog. The prompt asks us for the amount of time that it takes to eat Z hotdogs, so we just have to multiply the given rate by Z... Final Answer: GMAT assassins aren't born, they're made, Rich
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Re: If John takes 12 minutes to eat x hotdogs, how many seconds will it ta
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28 Sep 2015, 08:41
Engr2012 and Rich have nicely demonstrated the two methods (Algebraic and InputOutput) for solving a question type I call Variables in the Answer Choices. If you'd like more information on these approaches, we have some free videos:  Variables in the Answer Choices  http://www.gmatprepnow.com/module/gmat ... /video/933 Tips for the Algebraic Approach  http://www.gmatprepnow.com/module/gmat ... /video/934  Tips for the InputOutput Approach  http://www.gmatprepnow.com/module/gmat ... /video/935Cheers, Brent
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If John takes 12 minutes to eat x hotdogs, how many seconds will it ta
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28 Sep 2015, 09:51
pmklings wrote: If John takes 12 minutes to eat x hotdogs, how many seconds will it take him to eat z hot dogs, assuming he continues to eat at the same rate?
a. 720z/x
b. 12x/z
c. x/12z
d. 720/xz
e. xz/12 My solution:
John's rate (r) = x hot dogs/12 minutes or x hot dogs/12*60 seconds
So, the equation becomes z = (x/720)*T or T = 720z/x
Answer is A
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Re: If John takes 12 minutes to eat x hotdogs, how many seconds will it ta
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03 Oct 2015, 03:15
pmklings wrote: If John takes 12 minutes to eat x hotdogs, how many seconds will it take him to eat z hot dogs, assuming he continues to eat at the same rate?
a. 720z/x
b. 12x/z
c. x/12z
d. 720/xz
e. xz/12 You can apply the unitary method by using the information given in the question here to find how many seconds John will take to eat 1 hotdog. If John eats x hotdogs in 12 mins (12*60secs= 720secs), the time he will take to eat 1 hotdog will be 720/x secs. Therefore, the time John will take to eat z hotdogs will be : 720/x * z = 720z/x i.e. option A



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Re: If John takes 12 minutes to eat x hotdogs, how many seconds will it ta
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08 Jun 2016, 10:05
Work = Rate * time z = (x/720) * time time = 720(z/x)
720 = 12 minutes * 60 = 720 seconds



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If John takes 12 minutes to eat x hotdogs, how many seconds will it ta
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08 Jun 2016, 16:34
john's rate=x/12 min=x/720 sec john's time=z/(x/720)=720z/x sec



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Re: If John takes 12 minutes to eat x hotdogs, how many seconds will it ta
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08 Jun 2016, 21:50
pmklings wrote: If John takes 12 minutes to eat x hotdogs, how many seconds will it take him to eat z hot dogs, assuming he continues to eat at the same rate?
a. 720z/x
b. 12x/z
c. x/12z
d. 720/xz
e. xz/12 x hot dogs are eaten in 12 minutes1 hot dogs is eaten in (12/x) minutesz hot dogs are eaten in (12/x)*z minutes(12/x)*z minutes = (720z/x) seconds. A is the answer.



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Re: If John takes 12 minutes to eat x hotdogs, how many seconds will it ta
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29 Nov 2017, 17:10
pmklings wrote: If John takes 12 minutes to eat x hotdogs, how many seconds will it take him to eat z hot dogs, assuming he continues to eat at the same rate?
a. 720z/x
b. 12x/z
c. x/12z
d. 720/xz
e. xz/12 John’s rate is x/12 hot dogs per minute, so it takes him z/(x/12) = 12z/x minutes to eat z hot dogs and 12z/x minutes = 12z/x * 60 = 720z/x seconds. Answer: A
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