Mitch Anderson is a security guard. He earns $7.45 per hour for regular time up to 40 hours, time-and-a-half for overtime, and double time for the midnight shift. If Mitch worked 56 hours last week, including 4 hours on the midnight shift, how much were his gross earnings?
http://www.jiskha.com/display.cgi?id=1370450716
To calculate Mitch's gross earnings, we need to consider the different rates for regular time, overtime, and the midnight shift.
Let's break down his working hours:
Regular hours (up to 40 hours): 40 hours
Overtime hours: 56 hours - 40 hours = 16 hours
Midnight shift hours: 4 hours
First, let's calculate Mitch's earnings for regular time:
Regular time pay rate: $7.45 per hour
Regular time hours: 40 hours
Regular time earnings: 40 hours * $7.45 per hour = $298
Next, let's calculate Mitch's earnings for overtime:
Overtime pay rate: 1.5 times the regular time pay rate
Overtime hours: 16 hours
Overtime earnings: 16 hours * ($7.45 per hour * 1.5) = $177.60
Lastly, let's calculate Mitch's earnings for the midnight shift:
Midnight shift pay rate: 2 times the regular time pay rate
Midnight shift hours: 4 hours
Midnight shift earnings: 4 hours * ($7.45 per hour * 2) = $59.60
Now, let's sum up Mitch's gross earnings:
Gross earnings = Regular time earnings + Overtime earnings + Midnight shift earnings
Gross earnings = $298 + $177.60 + $59.60 = $535.20
Therefore, Mitch's gross earnings for the week were $535.20.