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If John takes 12 minutes to eat x hotdogs, how many seconds will it ta

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If John takes 12 minutes to eat x hotdogs, how many seconds will it ta  [#permalink]

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New post Updated on: 27 Sep 2015, 16:50
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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

Originally posted by pmklings on 27 Sep 2015, 16:28.
Last edited by ENGRTOMBA2018 on 27 Sep 2015, 16:50, edited 1 time in total.
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Re: If John takes 12 minutes to eat x hotdogs, how many seconds will it ta  [#permalink]

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New post 27 Sep 2015, 16:53
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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  [#permalink]

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New post 27 Sep 2015, 18:37
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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...

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Re: If John takes 12 minutes to eat x hotdogs, how many seconds will it ta  [#permalink]

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New post 28 Sep 2015, 09:41
1
Engr2012 and Rich have nicely demonstrated the two methods (Algebraic and Input-Output) 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 Input-Output Approach - http://www.gmatprepnow.com/module/gmat- ... /video/935

Cheers,
Brent
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If John takes 12 minutes to eat x hotdogs, how many seconds will it ta  [#permalink]

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New post 28 Sep 2015, 10:51
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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  [#permalink]

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New post 03 Oct 2015, 04:15
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  [#permalink]

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New post 08 Jun 2016, 11:05
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  [#permalink]

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New post 08 Jun 2016, 17:34
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  [#permalink]

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New post 08 Jun 2016, 22:50
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 minutes

1 hot dogs is eaten in (12/x) minutes

z 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  [#permalink]

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New post 29 Nov 2017, 18:10
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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Re: If John takes 12 minutes to eat x hotdogs, how many seconds will it ta &nbs [#permalink] 29 Nov 2017, 18:10
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