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Mabel spends 4 hours to edit a 3 minute long video. She edits at a constant rate.
How long does Mabel spend to edit a 15 -minute long video?
hours

Mabel spends 44 hours to edit a 33 minute long video. She edits at a constant rate.\newlineHow long does Mabel spend to edit a 1515 -minute long video?\newlinehours

Full solution

Q. Mabel spends 44 hours to edit a 33 minute long video. She edits at a constant rate.\newlineHow long does Mabel spend to edit a 1515 -minute long video?\newlinehours
  1. Determine Editing Rate: Determine the rate at which Mabel edits videos.\newlineMabel spends 44 hours to edit a 33-minute video. To find her editing rate, we divide the total time spent by the length of the video.\newlineRate =Time SpentVideo Length= \frac{\text{Time Spent}}{\text{Video Length}}\newlineRate =4 hours3 minutes= \frac{4 \text{ hours}}{3 \text{ minutes}}\newlineTo keep the units consistent, we should convert the video length from minutes to hours since the time spent is in hours.\newlineThere are 6060 minutes in an hour, so 33 minutes is 360\frac{3}{60} hours.\newlineRate =4 hours(360 hours)= \frac{4 \text{ hours}}{(\frac{3}{60} \text{ hours})}
  2. Convert Video Length: Calculate Mabel's editing rate.\newlineNow we perform the division to find the rate.\newlineRate = 4 hours(360 hours)\frac{4 \text{ hours}}{(\frac{3}{60} \text{ hours})}\newlineRate = 4 hours0.05 hours\frac{4 \text{ hours}}{0.05 \text{ hours}}\newlineRate = 80 hours per hour80 \text{ hours per hour} (which means Mabel spends 8080 hours editing for every hour of video)

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