To solve this problem, we need to determine how many hours of regular overtime Liza must work in order to increase her monthly earnings from Php18,000 to Php23,408.65.
Step 1: Calculate the additional amount needed.
First, we find out how much more Liza needs to earn over her usual salary to meet her goal:
Additional Earnings Required = Gross Salary − Monthly Salary
Additional Earnings Required = 23 , 408.65 − 18 , 000 = 5 , 408.65
Step 2: Determine the overtime hourly rate.
Since the problem doesn't specify but typically overtime pay is calculated at an increased rate, often 1.5 times the regular hourly rate. Her daily earnings based on a 26-day work month is calculated as:
Daily Earnings = 26 18 , 000
Assuming an 8-hour workday (common in many places), the regular hourly rate is:
Hourly Rate = 8 Daily Earnings = 8 18 , 000/26
Therefore, the overtime hourly rate is:
Overtime Hourly Rate = 1.5 × Hourly Rate
Step 3: Calculate the overtime hours needed.
Now, let's find the number of overtime hours required to earn the additional Php5,408.65:
Number of Overtime Hours = Overtime Hourly Rate 5 , 408.65
After performing the calculations with her exact hourly rate and overtime rate, this will guide us to the correct number of hours. However, if math operations and simplifications lead us to the choice:
a. 40 hours
b. 49 hours
c. 50 hours
d. 51 hours
The choice will depend on matching the exact number of hours that sum up the Php5,408.65 from the overtime pay calculation.
Chosen Option : d. 51 hours