A survey shows that teachers divide each 80-minute class period as follows: 20 minutes for homework review; 30 minutes for lecture; 30 minutes for activities. If there are 4 periods each day, each of which is 80 minutes, how much time does a teacher spend doing homework review during a 5-day week?
In a 5-day week, a teacher spends 6 hours and 40 minutes doing homework review.
Each class period allocated 20 minutes for homework review, and with 4 periods per day over 5 days, the total time dedicated to homework review can be calculated as follows: 20 minutes x 4 periods x 5 days = 400 minutes, which converts to 6 hours and 40 minutes.
To reach 6 hours and 23 minutes, one would need a total of 383 minutes (6 hours x 60 minutes + 23 minutes). This value does not represent the total homework review time since the calculation based on the survey indicates 400 minutes for the entire week.
This represents the correct calculation of total homework review time in a 5-day week. With 20 minutes allocated per class, and 4 classes each day over 5 days, the total is 20 x 4 x 5 = 400 minutes, which equals 6 hours and 40 minutes.
This choice translates to 415 minutes (6 hours x 60 minutes + 55 minutes), which exceeds the calculated total of 400 minutes for homework review over a week. Therefore, it cannot be the correct answer based on the time allocations provided.
This answer corresponds to 367 minutes (6 hours x 60 minutes + 7 minutes), which is also less than the total required for the homework review time. The calculated value is 400 minutes, making this option incorrect.
The analysis of the time allocation per class and the number of classes reveals that a teacher spends 6 hours and 40 minutes on homework review in a week. This calculation is derived from multiplying the minutes spent on homework review each class by the total number of classes across the week, confirming that option B is indeed the correct answer.
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