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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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27 Sep 2015, 15:53

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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.

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...

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

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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