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If a certain animated short film

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If a certain animated short film

by BTGmoderatorDC » Sat Oct 14, 2017 10:53 pm
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.

What's the best way to determine whether statement 1 is sufficient?

OA D
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by GMATGuruNY » Sun Oct 15, 2017 2:36 am
lheiannie07 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.
Statement 1:
Number of seconds to run the film = (total number of frames)/(frames per second) = 21600/36.
Since the number of seconds can be calculated, so can the number of minutes.
SUFFICIENT.

Statement 2:
Let r = time to run the film and and s = the time to rewind the film.
Since it takes 5 times as long to run the film as it takes to rewind the film, we get:
r = 5s.
Since it takes a total of 12 minutes to do both, we get:
r+s = 12.
Since we have two variables (r and s) and two distinct linear equations (r=5s and r+s=12), we can solve for the two variables, with the result that the time to run the film can be determined.
SUFFICIENT.

The correct answer is D.
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by Brent@GMATPrepNow » Sun Oct 15, 2017 5:58 am
lheiannie07 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

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