Let's solve the problem step by step.

1. Lily's hourly rate

Lily works for 14 hours and earns $329. Her hourly rate is calculated as:

$\text{Hourly Rate of Lily} = \frac{\text{Total Earnings}}{\text{Total Hours Worked}}$ $\text{Hourly Rate of Lily} = \frac{329}{14} \approx 23.50$

2. Aaron's hourly rate

Aaron's hourly rate is $\frac{3}{5}$ of Lily's hourly rate:

$\text{Aaron's Hourly Rate} = \frac{3}{5} \times \text{Lily's Hourly Rate}$ $\text{Aaron's Hourly Rate} = \frac{3}{5} \times 23.50 = 14.10$

3. Aaron's total hours worked

Aaron earns $310.20. To find how many hours he works:

$\text{Total Hours Worked by Aaron} = \frac{\text{Total Earnings}}{\text{Hourly Rate}}$ $\text{Total Hours Worked by Aaron} = \frac{310.20}{14.10} \approx 22$

Final Answers:

1. Aaron's hourly rate: $14.10
2. Aaron's total hours worked: 22 hours

Would you like detailed steps for any part? Here are 5 related questions for practice:

1. If Lily worked 20 hours at her hourly rate, how much would she earn?
2. If Aaron worked for 30 hours, how much would he earn at his hourly rate?
3. What is the ratio of Lily's hourly rate to Aaron's hourly rate?
4. If Aaron's hourly rate increased by 10%, what would his new hourly rate be?
5. How many hours would Lily need to work to earn the same amount as Aaron did?

Tip:

When solving word problems, always break them down into smaller steps like rate, time, and total earnings!