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. Hector wants to compare his exercise rate with the fitness challenge rate.

How many hours per week does Hector exercise? [tex]\square[/tex] hour(s) per week

Answer :

Sure, let's break down the problem step-by-step to find out how many hours per week Hector exercises.

First, we know that Hector exercises for a total of [tex]\( 11 \frac{1}{2} \)[/tex] hours over a 4-week period.

We can convert [tex]\( 11 \frac{1}{2} \)[/tex] hours into an improper fraction or a decimal for easier calculations:
[tex]\[ 11 \frac{1}{2} \text{ hours} = 11 + \frac{1}{2} = 11.5 \text{ hours} \][/tex]

Next, we need to find out how many hours per week this amounts to. To do that, we divide the total number of hours by the number of weeks.

Total number of hours Hector exercises: [tex]\( 11.5 \)[/tex] hours

Number of weeks: [tex]\( 4 \)[/tex] weeks

To find the number of hours Hector exercises each week:
[tex]\[ \text{Hours per week} = \frac{11.5 \text{ hours}}{4 \text{ weeks}} \][/tex]

Now, we perform the division:
[tex]\[ \frac{11.5}{4} = 2.875 \][/tex]

So, Hector exercises [tex]\( 2.875 \)[/tex] hours per week.

Therefore, Hector exercises 2.875 hours per week.