Brent's normal wage is $672 for a 40 hour week. He worked overtime and earned $873.60 in one week.
How many hours of overtime did he work if he was paid double time for the overtime worked?
Method please
Okk ! SO I am not completly suree about this :
The No. of overtime
worked =
the overtime wage / overtime rate
:) Someone Plz Clarify
$672/40 = $16.80 per hour
($873.60 - $672)/(2*$16.80) = overtime hours
To determine the number of hours of overtime Brent worked, we can use the formula:
Overtime pay = (Overtime hours) × (Hourly rate × Time-and-a-half)
In this case, we're told that Brent worked overtime and earned $873.60 in one week. We also know that his normal wage is $672 for a 40-hour week. Additionally, we're given that Brent was paid double time for the overtime worked.
Step 1: Calculate Brent's hourly rate
Since his normal wage is $672 for a 40-hour week, we can calculate his hourly rate by dividing his weekly wage by the number of hours in a week.
Hourly rate = Weekly wage ÷ Number of hours in a week
Hourly rate = $672 ÷ 40
Hourly rate = $16.80
Step 2: Calculate Brent's regular salary
To find the regular salary earned by Brent for a 40-hour week, we multiply his hourly rate by the number of regular hours worked.
Regular salary = Hourly rate × Regular hours
Regular salary = $16.80 × 40
Regular salary = $672
Step 3: Calculate Brent's overtime pay
To determine the amount he earned from overtime, we subtract his regular salary from his total earnings in one week.
Overtime pay = Total earnings - Regular salary
Overtime pay = $873.60 - $672
Overtime pay = $201.60
Step 4: Calculate the time-and-a-half rate
Since Brent was paid double time for the overtime worked, we need to find his time-and-a-half rate. This means his overtime pay is twice the rate he would normally earn for overtime hours.
Time-and-a-half rate = Hourly rate × 2
Time-and-a-half rate = $16.80 × 2
Time-and-a-half rate = $33.60
Step 5: Calculate the number of overtime hours
Now, we can determine the number of overtime hours Brent worked by dividing his overtime pay by the time-and-a-half rate.
Number of overtime hours = Overtime pay ÷ Time-and-a-half rate
Number of overtime hours = $201.60 ÷ $33.60
Number of overtime hours ≈ 6
Therefore, Brent worked approximately 6 hours of overtime.