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A basketball game was scheduled to last 60 minutes, including the breaks between quarters. Several timeouts were used throughout the game, resulting in the game lasting a total of 72 minutes, including breaks. If each timeout was 90 seconds, how many total timeouts were used during the game?

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A basketball game was scheduled to last 6060 minutes, including the breaks between quarters. Several timeouts were used throughout the game, resulting in the game lasting a total of 7272 minutes, including breaks. If each timeout was 9090 seconds, how many total timeouts were used during the game?\newline_____

Full solution

Q. A basketball game was scheduled to last 6060 minutes, including the breaks between quarters. Several timeouts were used throughout the game, resulting in the game lasting a total of 7272 minutes, including breaks. If each timeout was 9090 seconds, how many total timeouts were used during the game?\newline_____
  1. Calculate Timeouts Added: Calculate the extra time added by timeouts.\newlineTotal game time including timeouts = 7272 minutes.\newlineScheduled game time = 6060 minutes.\newlineExtra time due to timeouts = 7260=1272 - 60 = 12 minutes.
  2. Convert Extra Time to Seconds: Convert the extra time from minutes to seconds for calculation ease.\newlineExtra time in seconds = 1212 minutes ×60\times 60 seconds/minute = 720720 seconds.
  3. Determine Number of Timeouts: Determine the number of timeouts. Each timeout lasts = 9090 seconds. Number of timeouts = rac{720 ext{ seconds}}{90 ext{ seconds/timeout}} = 8 timeouts.

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