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Standard movie projectors project $24$ still images, known as frames, each second. If a certain movie uses the standard frame rate and has exactly $129600$ total frames, then, to the nearest whole minute, how long is the movie?

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Convert between customary and metric systems

Full solution

Q. Standard movie projectors project

24

still images, known as frames, each second. If a certain movie uses the standard frame rate and has exactly

129600

total frames, then, to the nearest whole minute, how long is the movie?

Identify Given Information: Identify the given information and what needs to be calculated. $\newline$ We know: $\newline$ - The standard frame rate for movie projectors is $24$ frames per second. $\newline$ - The total number of frames in the movie is $129600$ . $\newline$ We need to calculate the total duration of the movie in minutes.
Calculate Duration in Seconds: Calculate the total duration of the movie in seconds. $\newline$ To find the duration in seconds, we divide the total number of frames by the frame rate per second. $\newline$ Total duration in seconds = Total number of frames $\div$ Frame rate per second $\newline$ Total duration in seconds = $129600 \div 24$
Perform Division for Seconds: Perform the division to find the total duration in seconds. $\newline$ Total duration in seconds = $129600 \div 24$ $\newline$ Total duration in seconds = $5400$
Convert to Minutes: Convert the total duration from seconds to minutes. $\newline$ Since there are $60$ seconds in a minute, we divide the total duration in seconds by $60$ to find the duration in minutes. $\newline$ Total duration in minutes $=$ Total duration in seconds $\div 60$ $\newline$ Total duration in minutes $= 5400 \div 60$
Perform Division for Minutes: Perform the division to find the total duration in minutes. $\newline$ Total duration in minutes = $5400 \div 60$ $\newline$ Total duration in minutes = $90$

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