Cathy is paid at a rate of K7.20 per hour for a basic hour-week of 70 hours. She is paid time-and-a-half for over-time during the week, and double-time on weekends. In a fortnight she worked 160 hours, and 4 hours on Saturday and 2 hours on Sunday.
(a) How many hours does Cathy work in a fortnight?
(b) Calculate overtime earned during the week.
(c) Calculate over-time earned during the weekend.
(d) Find the total wage she earned in that fortnight
Answer (2)
Calculate total basic hours: 70 hours/week × 2 weeks = 140 hours .
Calculate weekday overtime hours: 160 hours − 140 hours = 20 hours .
Calculate weekend hours: 4 hours + 2 hours = 6 hours .
Calculate total wage: K 1008.00 ( ba s i c ) + K 216.00 ( w ee k d a yo v er t im e ) + K 86.40 ( w ee k e n d o v er t im e ) = K 1310.40 .
Explanation
Understanding Cathy's Earnings Let's break down Cathy's earnings step by step to understand how her total wage is calculated. We need to consider her basic hours, weekday overtime, and weekend overtime, each paid at different rates.
Calculating Total Basic Hours First, we calculate the total basic hours for the fortnight. Cathy works a basic 70-hour week, so over two weeks, this is: 70 hours/week × 2 weeks = 140 hours
Calculating Weekday Overtime Hours Next, we determine the number of overtime hours Cathy worked during the week. She worked 160 hours in the fortnight, so her weekday overtime hours are: 160 hours − 140 hours = 20 hours
Calculating Weekend Hours Now, let's calculate the total weekend hours. Cathy worked 4 hours on Saturday and 2 hours on Sunday, giving us: 4 hours (Saturday) + 2 hours (Sunday) = 6 hours
Calculating Basic Wage We can now calculate Cathy's basic wage. She is paid K7.20 per hour for her basic hours, so her basic wage is: 140 hours × K 7.20/ hour = K 1008.00
Calculating Weekday Overtime Wage Next, we calculate Cathy's weekday overtime wage. She is paid time-and-a-half for overtime during the week, so her overtime rate is: K 7.20/ hour × 1.5 = K 10.80/ hour Thus, her weekday overtime wage is: 20 hours × K 10.80/ hour = K 216.00
Calculating Weekend Overtime Wage Now, we calculate Cathy's weekend overtime wage. She is paid double-time for weekend hours, so her weekend overtime rate is: K 7.20/ hour × 2 = K 14.40/ hour Thus, her weekend overtime wage is: 6 hours × K 14.40/ hour = K 86.40
Calculating Total Wage Finally, we calculate Cathy's total wage by summing her basic wage, weekday overtime wage, and weekend overtime wage: K 1008.00 + K 216.00 + K 86.40 = K 1310.40 Therefore, Cathy's total wage for the fortnight is K1310.40.
Final Answer Cathy's total wage earned in that fortnight is K1310.40.
Examples
Understanding how wages are calculated with overtime is crucial in many real-world jobs. For instance, consider a nurse working extra hours during a busy week. By calculating their basic pay, time-and-a-half for weekday overtime, and double-time for weekend shifts, they can accurately determine their total earnings. This ensures fair compensation and helps in financial planning. Moreover, this understanding allows employees to verify their paychecks and advocate for correct payments, promoting transparency and trust in the workplace.
Cathy worked 160 hours in the fortnight, with 20 hours classified as weekday overtime and 6 hours as weekend overtime. Her total wage earned during this period is K1310.40, which includes basic pay, weekday overtime, and weekend overtime. The breakdown includes K1008.00 for basic hours, K216.00 for weekday overtime, and K86.40 for weekend hours.
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