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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 129,600 total frames, then, to the nearest whole minute, how long is the movie?

Standard movie projectors project $24$ still images, known as frames, each second. If a certain movie uses the standard frame rate and has exactly $129$ , $600$ total frames, then, to the nearest whole minute, how long is the movie?

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Rate of travel: word problems

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

129

,

600

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

Calculate Total Time: First, we need to calculate the total time in seconds by dividing the total number of frames by the frame rate per second. $\newline$ Calculation: Total time in seconds = $\frac{\text{Total number of frames}}{\text{Frame rate per second}}$ $\newline$ = $\frac{129,600 \text{ frames}}{24 \text{ frames per second}}$ $\newline$ = $5,400 \text{ seconds}$
Convert to Minutes: Next, we convert the total time from seconds to minutes since the question asks for the answer in minutes. $\newline$ Calculation: Total time in minutes = Total time in seconds / $60$ seconds per minute $\newline$ = $5,400$ seconds / $60$ $\newline$ = $90$ minutes
Round to Nearest Minute: Finally, we round the total time to the nearest whole minute if necessary. In this case, the total time is already a whole number, so no rounding is needed.

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