High School

Students are encouraged to exercise at least 2 1/2 hours a week. Hector exercises about the same number of hours each week. During a 4-week period, he exercises 11 1/2 hours. How many hours does he exercise per week?

Answer :

Hector exercises 2 7/8 hours per week, which is equivalent to 2 hours and 52.5 minutes. This was determined by dividing the total hours exercised in a 4-week period (11 1/2 hours) by the number of weeks (4).

To determine how many hours Hector exercises per week, we divide the total number of hours he exercised by the number of weeks.

Total hours Hector exercised: 11 1/2 hours
Number of weeks: 4 weeks

We convert 11 1/2 to an improper fraction to make the division easier:

11 1/2 hours = (11 * 2 + 1)/2 = 23/2 hours

Now, we divide the total hours by the number of weeks:

(23/2) / 4 = 23/2 / 4/1 = 23/2 * 1/4 = 23/8

Converting back to a mixed number, 23/8 is 2 7/8 hours. This means Hector exercises 2 hours and 52.5 minutes (2 7/8 hours) each week.

Answer:

On average, he exercises 2.875 hours per week.

Step-by-step explanation:

Just do 11 1/2 (11.5) divided by 4, and you get your answer of 2.875 hours per week.