Answer :
[tex]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.[/tex]
The total number of working hours in a year is [tex]\fbox{\begin\\\ \bf 800\ \text{hours}\\\end{minispace}}[/tex].
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 [tex]8\ \text{hours}[/tex] so, in [tex]2[/tex] days the total working hour is [tex]16\ \text{hours}[/tex].
Since, in a week a person works for [tex]2\ \text{days}[/tex] so, the total working hours for each week is [tex]16\ \text{hours}[/tex].
In a year there are [tex]52\ \text{weeks}[/tex] so, the total number of working hour for [tex]52\ \text{weeks}[/tex] is calculated as follows:
[tex]16\times 52=832[/tex]
This implies that the in a year a person works for [tex]832\ \text{hours}[/tex].
As given in the question a person took an off from work for [tex]2\ \text{weeks}[/tex].
Since, in a week there are [tex]2[/tex] working days so, the total number of days missed from the work in a week is [tex]4\ \text{days}[/tex].
In [tex]1\ \text{day}[/tex] a person works for [tex]8\ \text{hours}[/tex] so, the total number of working hours for [tex]4\ \text{days}[/tex] in calculated as follows:
[tex]4\times 8=32[/tex]
This implies that if a person is absent from work for [tex]4\ \text{days}[/tex] this means that the person is absent for [tex]32\ \text{hours}[/tex].
The total number of working hours for a person who took a [tex]2\ \text{week}[/tex] off in a year is calculated as follows:
[tex]832-32=800[/tex]
This implies that if a person took a [tex]2\ \text{week}[/tex] off then the person works for [tex]800\ \text{hours}[/tex] in a year.
Therefore, the total number of working hours for a person who take a 2 week off is [tex]\fbox{\begin\\\ \bf 800\ \text{hours}\\\end{minispace}}[/tex].
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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.
