Question

An employee worked 11 hours in a day. Her regular working day is 7.5 hours and the rest was overtime, for which she was paid 1.5 times her regular hourly rate. If she was paid $112 for the day, what was her regular rate per hour for that day?
If the rate was r, then

7.5r + (11-7.5)(1.5r) = 112
6.79
$8.78
$8.78 x 7.5 = 65.85 (her hourly)
(8.78 x 1.5 = 13.17 (rate time and half))
$13.17 x 3.5 = 46.09 (how much she made working over time for 3.5 hours.
= $111.94 (approx. $112 includes her regular shift + overtime ammount).

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