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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?

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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Divide numbers ending in zeros: word problems

Full solution

Q. 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?

Calculate extra time: Determine the total extra time added to the game due to timeouts. $\newline$ The game was scheduled to last $60$ minutes but actually lasted $72$ minutes. $\newline$ Extra time due to timeouts $=$ Total game time $-$ Scheduled game time $\newline$ Extra time due to timeouts $=$ $72$ minutes $-$ $60$ minutes $\newline$ Extra time due to timeouts $=$ $12$ minutes
Convert to seconds: Convert the extra time from minutes to seconds to match the timeout duration unit. $\newline$ $1$ minute $= 60$ seconds $\newline$ Extra time in seconds $=$ Extra time in minutes $\times 60$ seconds/minute $\newline$ Extra time in seconds $= 12$ minutes $\times 60$ seconds/minute $\newline$ Extra time in seconds $= 720$ seconds
Find number of timeouts: Divide the total extra time in seconds by the duration of one timeout to find the number of timeouts. $\newline$ Duration of one timeout = $90$ seconds $\newline$ Number of timeouts = Extra time in seconds / Duration of one timeout $\newline$ Number of timeouts = $720$ seconds / $90$ seconds $\newline$ Number of timeouts = $8$

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