Answer :
To determine how many hours you will work in a year if you work an 8-hour shift on each weekend day and take two weeks off during the year, follow these steps:
1. Determine the Number of Weekend Days in a Year:
- There are 52 weeks in a year, and each weekend has 2 days (Saturday and Sunday).
- Multiply the number of weeks by the number of days per weekend:
[tex]\[
52 \text{ weeks} \times 2 \text{ days per weekend} = 104 \text{ weekend days in a year}
\][/tex]
2. Calculate the Total Number of Weekend Days Worked:
- Since you take 2 weeks off, you won't be working during those weekends.
- Subtract the 2 weekends off from the total number of weekends:
[tex]\[
52 \text{ weekends} - 2 \text{ weekends off} = 50 \text{ weekends worked}
\][/tex]
3. Calculate the Total Hours Worked:
- You work 8 hours per day and 2 days each weekend.
- Multiply the number of hours per day by the number of days per weekend and then by the total number of weekends worked:
[tex]\[
8 \text{ hours per day} \times 2 \text{ days per weekend} \times 50 \text{ weekends worked} = 800 \text{ hours}
\][/tex]
Therefore, you will work 800 hours in a year. The correct answer is a) 800.
1. Determine the Number of Weekend Days in a Year:
- There are 52 weeks in a year, and each weekend has 2 days (Saturday and Sunday).
- Multiply the number of weeks by the number of days per weekend:
[tex]\[
52 \text{ weeks} \times 2 \text{ days per weekend} = 104 \text{ weekend days in a year}
\][/tex]
2. Calculate the Total Number of Weekend Days Worked:
- Since you take 2 weeks off, you won't be working during those weekends.
- Subtract the 2 weekends off from the total number of weekends:
[tex]\[
52 \text{ weekends} - 2 \text{ weekends off} = 50 \text{ weekends worked}
\][/tex]
3. Calculate the Total Hours Worked:
- You work 8 hours per day and 2 days each weekend.
- Multiply the number of hours per day by the number of days per weekend and then by the total number of weekends worked:
[tex]\[
8 \text{ hours per day} \times 2 \text{ days per weekend} \times 50 \text{ weekends worked} = 800 \text{ hours}
\][/tex]
Therefore, you will work 800 hours in a year. The correct answer is a) 800.
