There are 10 hours and 15 minutes between 7:30AM and 5:45PM.
Since Roger gets a 50 minute lunch break and two 20 minute breaks, we can add all of the breaks together and subtract the total break time from his work time.
[tex]50 + 2(20) = 50 + 40 = 90[/tex]
Convert 10 hours, 15 minutes into minutes. There are 60 minutes in an hour.
[tex]10(60) + 15 = 600 + 15 = 615[/tex]
Subtract the total break time from the total minutes during Roger's work day.
[tex]615 - 90 = 525[/tex]
Convert this number into hours and minutes. [tex]525 / 60 = 8 R45[/tex]
R45 represents the minutes.
Roger works 8 hours and 45 minutes every work day.
