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In Mathematics / College | 2025-07-07

Cathy is paid at a rate of K7.20 per hour for a basic hour and time-and-a-half for over-time during the week, and time on weekends.

(a) How many hours does Cathy work in a fortnight?

Answer: 166 hrs

(b) Calculate over-time earned during the week.

Answer: 20 hrs

(c) Calculate over-time earned during the weekend.

Asked by didieokole594

Answer (2)

Calculate total weekend hours: 4 + 2 = 6 hours.
Determine weekend overtime rate (assuming double time): K 7.20 × 2 = K 14.40 .
Calculate total weekend overtime pay: 6 × K 14.40 = K 86.40 .
Cathy's overtime earned during the weekend is K 86.40 ​ .

Explanation

Calculate weekend overtime pay First, we need to determine the total hours Cathy worked during the weekend. She worked 4 hours on Saturday and 2 hours on Sunday. So, the total weekend hours are calculated as follows: 4 hours (Saturday) + 2 hours (Sunday) = 6 hours Next, we need to determine the overtime pay rate for the weekend. The problem states that Cathy is paid time-and-a-half for overtime during the week, but it doesn't specify the weekend overtime rate. Let's assume that the weekend overtime rate is double her basic hourly rate. Her basic hourly rate is K7.20. Therefore, the weekend overtime rate is: K 7.20 × 2 = K 14.40 Now, we can calculate the total overtime earned during the weekend by multiplying the total weekend hours by the weekend overtime rate: 6 hours × K 14.40 per hour = K 86.40 Therefore, Cathy earned K86.40 in overtime during the weekend.

Final Answer Cathy earned K86.40 in overtime during the weekend, assuming the weekend overtime rate is double her basic hourly rate.


Examples
Understanding overtime calculations is crucial in many professions. For example, if you are a project manager, you need to accurately calculate the labor costs, including overtime, to stay within budget. Knowing how to calculate overtime helps ensure fair compensation for employees and accurate financial planning for businesses. This also applies to freelancers or anyone working on an hourly basis, where understanding how overtime affects earnings is essential for personal financial management.

Answered by GinnyAnswer | 2025-07-08

Cathy earns K86.40 in overtime during the weekend based on an assumed total of 6 hours worked, calculated at a weekend overtime rate of K14.40. This assumes that her weekend rate is double her basic hourly wage. Accurate overtime calculations are essential for understanding overall earnings.
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Answered by Anonymous | 2025-07-09