Question

Hector's school is holding a fitness challenge. students are encouraged to exercise at least 2 1/2 hours per week. Hector exercises about the same number of hours each week. During a 4- week period, he exercises for 11 1/2 hours. Hector wants to compare his exercise rate with the fitness challenge rate.
How many hours per week does hector excerise?
____ hour(s) per week

Answer 1

To find out how many hours per week Hector exercises, we need to divide the total number of hours he exercises over the 4-week period by the number of weeks.

Hector exercises for a total of 11 1/2 hours over 4 weeks.

First, convert 11 1/2 hours to an improper fraction for easier calculations:

11 1/2 hours = 11 + 0.5 = 11.5 hours.

Now, divide this total by the 4 weeks:

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

Now, convert 2.875 to a fraction.

2.875 can be expressed as:

2.875 = 2 + 0.875 = 2 + \frac{7}{8} = \frac{16}{8} + \frac{7}{8} = \frac{23}{8}

So, Hector exercises approximately \( 2.875 \) hours per week, or \( \frac{23}{8} \) hours.

Therefore, Hector exercises approximately:

**2.875 hour(s) per week** or **\(\frac{23}{8}\) hour(s) per week.**