Question

Jim worked 40 hours last week, plus 8 overtime hours at the time-and-a-half rate. His gross pay was $884. A. What was his hourly rate? B. What was his hourly overtime date?

Answer 1

Answer:

Hourly rate: $17.

Hourly overtime rate: $25.5.

Step-by-step explanation:

Let x represent Jim's hourly pay.

We have been given that Jim worked 40 hours last week. So amount paid in 40 hours would be $40x$.

We are also told that his over time pay is time-and-a-half rate that is $1.5x$.

The amount earned for working 8 overtime hours would be $8\cdot 1.5x=12x$.

Since Jim's gross pay was $884, so we will equate amount earned in 40 hours and 8 hours of overtime with 884 as:

$40x+12x=884$

$52x=884$

$\frac{52x}{52}=\frac{884}{52}$

$x=17$

Therefore, Jim's hourly rate is $17.

Overtime rate would be $1.5x\Rightarrow1.5(17)=25.5$

Therefore, Jim's hourly overtime rate is $25.5.