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 \(\fbox{\begin\\\ \bf 800\ \text{hours}\\\end{minispace}}\).
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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.
