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

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Identify quotients of rational numbers: word problems

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Q. A basketball game was scheduled to last

72

minutes, including the breaks between quarters. Several timeouts were used throughout the game, resulting in the game lasting a total of

60

minutes, including breaks. If each timeout was

x

seconds, how many total timeouts were used during the game?

Understand the problem: Understand the problem. $\newline$ We need to find out how many timeouts were taken during a basketball game. We know the scheduled game time including breaks was $72$ minutes, but the actual game time including breaks was $60$ minutes. We need to calculate the difference in time to find out how much extra time was used for timeouts. Then we will divide that by the duration of each timeout to find the total number of timeouts.
Calculate time difference: Calculate the difference in time between the scheduled game time and the actual game time. $\newline$ Scheduled game time = $72$ minutes $\newline$ Actual game time = $60$ minutes $\newline$ Difference in time = Scheduled game time - Actual game time $\newline$ Difference in time = $72$ minutes - $60$ minutes $\newline$ Difference in time = $12$ minutes
Convert to seconds: Convert the difference in time from minutes to seconds because the duration of each timeout is given in seconds. $\newline$ $1$ minute $= 60$ seconds $\newline$ Difference in time in seconds $=$ Difference in time in minutes $* 60$ $\newline$ Difference in time in seconds $= 12$ minutes $* 60$ seconds/minute $\newline$ Difference in time in seconds $= 720$ seconds
Divide for timeouts: Divide the total extra time used by the duration of each timeout to find the number of timeouts. However, we have not been given the duration of each timeout in the problem statement. Without this information, we cannot proceed with the calculation.

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