Answered

A man is paid at the rate of \[tex]$6 per hour for a 40-hour week and time and a half for overtime. One week he earned \$[/tex]294.00. The number of hours he worked overtime was

A. [tex]\(3 \frac{3}{4}\)[/tex]

B. 6

C. [tex]\(7 \frac{1}{2}\)[/tex]

D. 9



Answer :

GinnyAnswer
Let's break the problem down step by step to find the number of overtime hours worked.

1. Determine the Regular Pay:
The man is paid [tex]$6 per hour for a 40-hour week. Regular hours worked: \( 40 \) hours. Regular pay rate: \( \$[/tex]6 \) per hour.

Regular pay: [tex]\( 40 \text{ hours} \times \$6 \text{ per hour} = \$240 \)[/tex].

2. Calculate the Total Payment for Other Times:
The total payment he earned in the week was [tex]\( \$294 \)[/tex].

3. Find the Payment Attributable to Overtime:
Subtract the regular pay from the total payment.

Overtime payment: [tex]\( \$294 - \$240 = \$54 \)[/tex].

4. Determine the Overtime Pay Rate:
The overtime rate is time and a half (1.5 times the regular rate).

Regular rate: [tex]\( \$6 \)[/tex] per hour.
Overtime rate: [tex]\( 1.5 \times \$6 = \$9 \)[/tex] per hour.

5. Calculate the Number of Overtime Hours Worked:
Overtime payment: [tex]\( \$54 \)[/tex].
Overtime rate: [tex]\( \$9 \)[/tex] per hour.

Overtime hours: [tex]\( \frac{\$54}{\$9 \text{ per hour}} = 6 \)[/tex] hours.

So, the number of hours he worked overtime was:
[tex]\[ \boxed{6} \][/tex]

Other Questions