Question

2. At a chemical factory, the basic week is 40 hours. During a particular week Mr. James earned a gross wage of $518.00, but $148.00 was for overtime.

a. Calculate Mr. James’ basic rate of payment.
b. If overtime was paid for at double-time, calculate how many hours Mr. James worked overtime.

Answer 1

a. Mr. James' basic rate of payment is $9.25 per hour

b. Mr. James worked 8 hours overtime.

Explanation:

Given that:

Hours of a basic week = 40 hours

Gross wage earned = $518.00

Amount of overtime = $148.00

We will subtract this amount from gross wage to calculate the basic weekly wage.

Basic weekly wage = 518.00 - 148.00 = $370

a. Calculate Mr. James’ basic rate of payment.

Basic rate =
`(Weekly\ wage)/(Week\ hours)`

Basic rate =
`(370)/(40)`

Basic rate = $9.25 per hour

b. If overtime was paid for at double-time, calculate how many hours Mr. James worked overtime.

Double time overtime means that the hourly wage is doubled for every overtime hour.

Per hour overtime wage = $9.25*2 = $18.50

Number of overtime hours =
`(Total\ overtime\ amount)/(Per\ overtime\ hour\ wage)`

Number of overtime hours =
`(148.00)/(18.50)`

Number of overtime hours = 8

Hence,

a. Mr. James' basic rate of payment is $9.25 per hour

b. Mr. James worked 8 hours overtime.