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Samantha works 10 hours on Tuesday and 12 hours on Friday, and regular hours for the remainder of the week. Her work schedule is 5 days a week with an 8-hour shift each day. How many overtime hours did she render?

A. 2 hours
B. 4 hours
C. 6 hours
D. 8 hours
E. 10 hours

Answer :

To determine how many overtime hours Samantha rendered, let's analyze her work schedule step by step.

  1. Understand Regular Hours: Samantha has a regular work schedule of 5 days a week with each shift being 8 hours long. Therefore, her regular weekly working hours are:

    [tex]5\, \text{days} \times 8\, \text{hours/day} = 40\, \text{hours}[/tex]

  2. Determine Total Hours Worked: Samantha worked 10 hours on Tuesday and 12 hours on Friday. We need to find out how many hours she worked in total for the week.

    If we assume "regular hours" for the other 3 days (since they are not detailed in the question and are implied to be regular), she worked 8 hours each, adding:

    [tex]8\, \text{hours/day} \times 3\, \text{days} = 24\, \text{hours}[/tex]

    Adding all the hours together gives:

    [tex]10\, \text{hours} + 12\, \text{hours} + 24\, \text{hours} = 46\, \text{hours total}[/tex]

  3. Calculate Overtime Hours: Overtime is generally calculated as any time worked over the regular 40 hours per week. Now, subtract the regular hours from the total hours worked to find the overtime:

    [tex]46\, \text{total hours} - 40\, \text{regular hours} = 6\, \text{overtime hours}[/tex]

Therefore, Samantha rendered 6 hours of overtime work.

The correct multiple choice option is C. 6 hours.

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