You are paid 1.4 times your normal hourly rate for each hour you work over 32 hours in a week.
You work 33 hours this week and earn $519.37
. What is your normal hourly rate?

To find your normal hourly rate, let's break down the problem step by step.

1. **Total Hours Worked**: 33 hours.
2. **Normal Hours**: The first 32 hours are paid at the normal hourly rate.
3. **Overtime Hours**: The hours worked over 32 are paid at 1.4 times the normal hourly rate. So, the overtime is $ 33 - 32 = 1 $ hour.
4. **Total Earnings**: $519.37.

Let $ x $ be your normal hourly rate.

### Earnings Calculation:
- **Earnings from Normal Hours**: $ 32x $.
- **Earnings from Overtime**: $ 1.4x \times 1 $ (since you worked 1 overtime hour).

### Total Earnings Equation:
\[
32x + 1.4x = 519.37
\]

Combine like terms:
\[
33.4x = 519.37
\]

### Solve for $ x $:
\[
x = \frac{519.37}{33.4}
\]

Let's calculate this:

\[
x \approx 15.54
\]

So, your normal hourly rate is approximately **$15.54**.

Would you like any details or have any further questions? 

Here are some related questions:
1. How do you calculate overtime pay for different overtime rates?
2. What if you worked 35 hours instead of 33? How would that change your earnings?
3. How does this calculation change if the overtime rate was 1.5 times the normal rate?
4. How can you calculate your weekly earnings if you know your hourly rate and hours worked?
5. How would this affect your earnings if the normal work week was 40 hours instead of 32?

**Tip:** Always double-check the number of hours you work and the corresponding pay rate to ensure accurate earnings calculations.

Learn how to calculate your normal hourly rate when earning overtime pay. Solve the problem where working 33 hours in a week results in earnings of $519.37. Includes step-by-step calculations for determining your hourly rate and understanding overtime pay formulas.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation