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If a certain animated short film consists of a total of 21,600 frames

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If a certain animated short film consists of a total of 21,600 frames [#permalink]

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New post 29 Mar 2017, 04:59
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If a certain animated short film consists of a total of 21,600 frames on film, how many minutes will it take to run the film?

(1) The film runs uninterrupted at a rate of 36 frames per second.
(2) It takes 5 times as long to run the film as it takes to rewind the film, and it takes a total of 12 minutes to do both.

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Re: If a certain animated short film consists of a total of 21,600 frames [#permalink]

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New post 29 Mar 2017, 07:24
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Bunuel wrote:
If a certain animated short film consists of a total of 21,600 frames on film, how many minutes will it take to run the film?

(1) The film runs uninterrupted at a rate of 36 frames per second.
(2) It takes 5 times as long to run the film as it takes to rewind the film, and it takes a total of 12 minutes to do both.


Target question: How many minutes will it take to run the film?

Given: The film consists of a total of 21,600 frames on film

Statement 1: The film runs uninterrupted at a rate of 36 frames per second.
Using the formula time = output/rate, we COULD calculate the number of SECONDS to run the entire film (time = 21,600/36), and then convert the time in SECONDS to time in MINUTES
Since we COULD answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: It takes 5 times as long to run the film as it takes to rewind the film, and it takes a total of 12 minutes to do both
Let x = the time to REWIND the film
So, 5x = the time to PLAY the film
We get the equation x + 5x = 12 minutes
So 6x = 12 minutes
Solve to get x = 2 minutes
So, it takes 2 minutes to REWIND the film, and it takes 10 minutes to PLAY the film
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: D

Cheers,
Brent
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Re: If a certain animated short film consists of a total of 21,600 frames   [#permalink] 29 Mar 2017, 07:24
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