Question

Hector's school is holding a fitness challenge.

Student are encouraged to exercise at least $2\frac{1}{2}$ hours per week.

Hector exercises about the same number of hours each week.

During a $4$-week period, he exercises for $11\frac{1}{2}$ hours.

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

How many hours per week does Hector exercise?

Answer 1

Find the exercise doing hours per week:

The rate students advised doing exercise is $2\frac{1}{2}\mathrm{hours}$

Hector exercised for weeks for $11\frac{1}{2}\mathrm{hours}=\frac{23}{2}\mathrm{hours}$

So Hector exercised during $1$ week:

$$\begin{gathered} \mathrm{Per}\mathrm{week}\mathrm{time}\mathrm{spent}=\frac{23}{2}\times \frac{1}{4}\mathrm{hours} \\ =\frac{23}{8}\mathrm{hours} \\ =2\frac{7}{8}\mathrm{hours} \end{gathered}$$

Thus, Hector spent $2\frac{7}{8}\mathrm{hours}$ per week.