Alright, let's solve the problem step-by-step and address the questions with the correct numerical values.
### Part 1: Calculating the number of hours Jape works each day.
Given:
- Jape works 42 hours in a week
- There are 7 days in a week
To find the number of hours Jape works per day, we divide the total hours he works in a week (42 hours) by the number of days in a week (7 days):
[tex]\[
\text{hours per day} = \frac{\text{total hours in a week}}{\text{number of days in a week}} = \frac{42 \text{ hours}}{7 \text{ days}} = 6 \text{ hours/day}
\][/tex]
So, Jape works 6 hours each day.
### Part 2: Calculating the number of hours in a week Jape is not working.
Given:
- A week has 7 days
- Each day has 24 hours
First, find the total number of hours in a week:
[tex]\[
\text{total hours in a week} = 7 \text{ days/week} \times 24 \text{ hours/day} = 168 \text{ hours/week}
\][/tex]
Now we know that Jape works 42 hours a week. To find the number of hours he is not working, subtract his working hours from the total hours in a week:
[tex]\[
\text{hours not working} = \text{total hours in a week} - \text{hours worked in a week} = 168 \text{ hours} - 42 \text{ hours} = 126 \text{ hours}
\][/tex]
Hence, Jape is not working for 126 hours a week.
### Conclusion
- Jape works 6 hours each day.
- Jape is not working for 126 hours in a week.
