SOLUTION: worked 48 hours, was paid $360. what is the hourly rate and overtime rate?

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Question 921623: worked 48 hours, was paid $360. what is the hourly rate and overtime rate?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
It depends on how overtime pay is calculated, and I would say we do not have enough information.

A common way to calculate overtime pay is to count each hour over 40 hours (in a standard week) as 1.5 hours.
Then, someone working 48 hours within that standard week would be paid for
40%2B%2848-40%29%2A1.5=40%2B8%2A1.5=40%2B12=52 times the hourly rate.
In that case the hourly rate would be
$360%2F52=$6.923 (rounded),
and the overtime would be paid at $%28360%2F52%29%2A1.5=$10.385 (rounded).

Another common way to calculate overtime pay is to count each hour over 40 hours (in a standard week) as 2 hours.
Then, someone working 48 hours within that standard week would be paid for
40%2B%2848-40%29%2A2=40%2B8%2A25=40%2B16=56 times the hourly rate.
In that case the hourly rate would be
$360%2F56=$6.429 (rounded),
and the overtime would be paid at $%28360%2F56%29%2A2=$12.857 (rounded).

If the rates for overtime pay and regular pay are not in a 1.5:1 or 2:1 ratio,
and/or if overtime is paid based on hours over some other weekly limit (not 40 hours),
we do not have enough information to answer.
Even if the first 40 hours were paid at a regular hourly rate and the next 8 hours were paid at a higher overtime pay rate,
there are many possible, reasonable answers.
Here are a few of those many:
Maybe the first 40 hours were paid at a regular hourly rate of $6.00/hour,
and the next 8 hours were considered overtime, paid at an overtime rate of $15.00/hour.
Maybe the first 40 hours were paid at a regular hourly rate of $6.50/hour,
and the next 8 hours were considered overtime, paid at an overtime rate of $12.50/hour.
The regular ate could have been $7.00/hour, with an overtime rate of $10.00/hour.