College

Hector's school is holding a fitness challenge. Students are encouraged to exercise at least [tex]$2 \frac{1}{2}$[/tex] hours per week. Hector exercises about the same number of hours each week. During a 4-week period, he exercises for [tex]$11 \frac{1}{2}$[/tex] hours.

How many hours per week does Hector exercise? ___ hour(s) per week.

Answer :

To find out how many hours per week Hector exercises, we need to divide the total hours he exercises by the number of weeks.

1. Total hours exercised: Hector exercises for [tex]\(11 \frac{1}{2}\)[/tex] hours over a 4-week period. In decimal form, that's 11.5 hours.

2. Number of weeks: The period is 4 weeks long.

3. Calculate hours per week: Divide the total hours by the number of weeks to find the average number of hours Hector exercises each week.

[tex]\[
\text{Hours per week} = \frac{11.5 \text{ hours}}{4 \text{ weeks}} = 2.875 \text{ hours/week}
\][/tex]

Therefore, Hector exercises approximately 2.875 hours each week.

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