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You and your friends watched the latest movie at the movie theater. The movie was 33 hours and 1212 minutes long. You all left the movie theater at 18:3018{:}30. At what time did the movie start?

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Full solution

Q. You and your friends watched the latest movie at the movie theater. The movie was 33 hours and 1212 minutes long. You all left the movie theater at 18:3018{:}30. At what time did the movie start?
  1. Convert to minutes: Convert the movie length to minutes: 3 hours×60 minutes/hour=180 minutes3 \, \text{hours} \times 60 \, \text{minutes/hour} = 180 \, \text{minutes}. Add the 12 minutes12 \, \text{minutes} to get the total movie length in minutes.\newline180 minutes+12 minutes=192 minutes180 \, \text{minutes} + 12 \, \text{minutes} = 192 \, \text{minutes}.
  2. Subtract from end time: Subtract the movie length in minutes from the end time, which is 18:3018:30. First, convert 18:3018:30 to minutes: 1818 hours ×60\times 60 minutes/hour =1080= 1080 minutes +30+ 30 minutes =1110= 1110 minutes.\newline11101110 minutes −192- 192 minutes =918= 918 minutes.
  3. Convert back to hours: Convert 918918 minutes back to hours and minutes. 918918 minutes // 6060 minutes/hour == 1515 hours and 1818 minutes. But 1515 hours is actually 33 PM, not the correct start time.

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