Robert LaClerq is paid a regular wage of $9.50 an hour, overtime at
the rate of 1 1/2 times the regular rate for all hours worked over 8
in any weekday, and overtime at the rate of 2 times the regular rate
for hours worked on Saturdays, Sundays, and holidays. During the week
ended February 14, LaClerq worked the following days and hours shown in
the table below. How many regular hours did Mr. Clerq work? _____
Day Total Hours
Worked
Monday 7
Tuesday 10
Wednesday 8
Thursday 10
Friday 11
Saturday 2
Total 48
To determine the number of regular hours worked, we first need to subtract the overtime hours worked from the total hours worked.
LaClerq worked a total of 48 hours.
Overtime hours are defined as any hours worked over 8 in a weekday, or any hours worked on Saturdays, Sundays, and holidays.
To calculate overtime hours on weekdays, we add up the total hours worked on each weekday and subtract 8.
Monday: 7 - 8 = -1 (no overtime)
Tuesday: 10 - 8 = 2 (2 overtime hours)
Wednesday: 8 - 8 = 0 (no overtime)
Thursday: 10 - 8 = 2 (2 overtime hours)
Friday: 11 - 8 = 3 (3 overtime hours)
Total overtime hours on weekdays: 2 + 2 + 3 = 7
To calculate overtime hours on Saturdays, Sundays, and holidays, we simply add up the total hours worked on these days.
Saturday: 2
Total overtime hours on weekends: 2
To calculate regular hours worked, we subtract the total overtime hours (weekday overtime + weekend overtime) from the total hours worked.
Total regular hours worked = Total hours worked - Total overtime hours
Total regular hours worked = 48 - (7 + 2)
Total regular hours worked = 48 - 9
Total regular hours worked = 39
Therefore, Mr. LaClerq worked 39 regular hours.