Question:
A certain job pays \(\(\(\$\)\)\)24 per hour for the first 40 hours worked in a week and 1.5 times that rate for any additional hours. If an employee earns \(\(\(\$\)\)\)1,260 in one week, how many total hours did they work?
A certain job pays \(\(\(\$\)\)\)24 per hour for the first 40 hours worked in a week and 1.5 times that rate for any additional hours. If an employee earns \(\(\(\$\)\)\)1,260 in one week, how many total hours did they work?
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For overtime pay problems, first calculate the regular earnings, then use the overtime rate for the additional hours to solve for the total time worked.
Updated On: Oct 6, 2025
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The Correct Option is C
Solution and Explanation
The employee is paid \(\(\(\$\)\)\)24 per hour for the first 40 hours, so the earnings for these 40 hours are:
\[
40 \times 24 = 960.
\]
The total earnings are \(\(\(\$\)\)\)1,260, so the remaining earnings come from the additional hours worked:
\[
1260 - 960 = 300.
\]
The rate for the additional hours is 1.5 times the normal rate, or:
\[
1.5 \times 24 = 36 \text{ dollars per hour}.
\]
Let the number of additional hours worked be \( h \). The earnings from these hours are:
\[
h \times 36 = 300.
\]
Now, solve for \( h \):
\[
h = \frac{300}{36} = 8.33.
\]
Therefore, the total number of hours worked is:
\[
40 + 8.33 = 48 \text{ hours}.
\]
Thus, the employee worked a total of \( \boxed{48} \) hours.
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