Design an algorithm that accepts two values, the hourly rate and the number of hours worked by an employee. If the number of hours exceeds 40, then the excess hours should be paid at an overtime rate of twice the hourly rate. Calculate wages (including overtime, if any) due to the employee.

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To design an algorithm that calculates wages for an employee based on their hourly rate and number of hours worked, including overtime pay, you can follow these steps:

1. Accept input values for the hourly rate and the number of hours worked by the employee. Let's call them "hourlyRate" and "hoursWorked" respectively.

2. Initialize variables for regular pay, overtime pay, and total wages.

3. Calculate regular pay by multiplying the hourly rate with the number of hours worked as long as it doesn't exceed 40 hours. If the number of hours worked is greater than 40, calculate the regular pay for 40 hours (hourly rate * 40) and store it in the regular pay variable.

4. Calculate overtime pay by multiplying the overtime hourly rate (twice the hourly rate) with the number of excess hours worked (hoursWorked - 40) if the number of hours worked exceeds 40. Store the result in the overtime pay variable.

5. Calculate total wages by adding the regular pay and overtime pay.

6. Return the total wages as the output.

Here is the algorithm in pseudocode:

```
function calculateWages(hourlyRate, hoursWorked):
regularPay = 0
overtimePay = 0
totalWages = 0

if hoursWorked <= 40:
regularPay = hourlyRate * hoursWorked
else:
regularPay = hourlyRate * 40
overtimePay = 2 * hourlyRate * (hoursWorked - 40)

totalWages = regularPay + overtimePay

return totalWages
```

To implement this algorithm in a programming language, you may need to adapt the syntax and data types according to the language of your choice.