Question

Jim worked 40 regular hours last week, plus 8 overtime houts at the time and a half rate. His gross pay was $1,248.

a.) What was his hourly rate?
b.) What was his hourly overtime rate?

Answer 1

a)

His hourly rate= $ 24

b)

His hourly overtime rate= $ 36

Explanation:

Jim worked 40 regular hours last week, plus 8 overtime hours at the time and a half rate.

This means if he is paid $ x per hour working in regular hours.

Then he will be paid $ (1.5x) per hour working overtime.

( Since it is given that: he is paid time and a half rate for overtime)

Now, his gross pay is: $ 1248

i.e.

Amount working at regular hours for 40 hours+ Amount obtained for working 8 hours overtime= $ 1248

i.e.

40x+8(1.5x)=1248

i.e.

40x+12x=1248

i.e.

52x=1248

i.e.

x=24

a)

Hence, his hourly rate is:$ 24

b)

His hourly overtime rate is: $ (24×1.5)

i.e.

His hourly overtime rate is: $ 36

Answer 2

40 hours regular pay

8 hours at 1.5 = 8*1.5 = 12

40+12 = 52

1248/52 = 24

A) $24 per hour

B) 14*1.5 = $36 per hour for overtime