Math CentralQuandaries & Queries


Question from Gilligan, a student:

John Ritter, who is paid time-and-a-half for hours greater than 40, had a gross weekly wage of $442 for 48 hours. What is his regular hourly rate?

My work:

I was not able to develop an equation that would lead me to the right answer.

I know:

John normally works 40 hours at x hours per hour.

John worked an additional 8 hours for that week totaling 48 hours of work time.

John makes time-and-a-half for hours over 40, which means he made time-and-a-half for 8 hours, right?

My problem is gathering all this data to form an equation.



For the 8 additional hours he worked he was paid time-and-a-half. So he got paid as if he worked for
8 + 4 = 12 additional hours at his normal rate. Thus his pay cheque looks like he worked 40 + 12 = 52 hours at his normal rate.


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