Question

if you work and 8 hour shift on each weekend day and take two weeks off during the year, how many hours will you work in a year?

Answer 1

$365:7=52 \frac{1}{7} \rightarrow\ the\ number\ of\ weeks\ in\ year\\\\52 \frac{1}{7}-2=50 \frac{1}{7}\\\\50 \cdot5+1=251\ \ \ \rightarrow\ \ \ number\ of \ workday\\\\251\cdot8=2008\ (hour/year)\ \leftarrow\ Ans.$

Answer 2

The total number of working hours in a year is $\fbox{\begin\\\ \bf 800\ \text{hours}\\\end{minispace}}$.

Further explanation:

In the question it is given that in a week a person works only in the weekends i.e., Saturday and Sunday.

On each working day the work shift is of $8\ \text{hours}$ so, in $2$ days the total working hour is $16\ \text{hours}$.

Since, in a week a person works for $2\ \text{days}$ so, the total working hours for each week is $16\ \text{hours}$.

In a year there are $52\ \text{weeks}$ so, the total number of working hour for $52\ \text{weeks}$ is calculated as follows:

$16\times 52=832$  

This implies that the in a year a person works for $832\ \text{hours}$.

As given in the question a person took an off from work for $2\ \text{weeks}$.

Since, in a week there are $2$ working days so, the total number of days missed from the work in a week is $4\ \text{days}$.

In $1\ \text{day}$ a person works for $8\ \text{hours}$ so, the total number of working hours for $4\ \text{days}$ in calculated as follows:

$4\times 8=32$

This implies that if a person is absent from work for $4\ \text{days}$ this means that the person is absent for $32\ \text{hours}$.

The total number of working hours for a person who took a $2\ \text{week}$ off in a year is calculated as follows:

$832-32=800$

This implies that if a person took a $2\ \text{week}$ off then the person works for $800\ \text{hours}$ in a year.

Therefore, the total number of working hours for a person who take a 2 week off is $\fbox{\begin\\\ \bf 800\ \text{hours}\\\end{minispace}}$.

Learn more:

1. A problem on composite function brainly.com/question/2723982  

2. A problem to find radius and center of circle brainly.com/question/9510228  

3. A problem to determine intercepts of a line brainly.com/question/1332667  

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Simplification

Keywords: Simplification, hours, working hours, week, 2 week off, calculation, 800 hours, 8 hour shift, work in a year, weekend day.