Question

Last week Rani worked her normal 38 hours, then 4 hours at time-and-a-half and 5 hours double time. She was pain 909.90 for the week. Find her hourly rate of pay.

Answer 1

Explanation:

Let's denote Rani's hourly rate of pay as "x".

For the first 38 hours, she was paid x * 38.

For the next 4 hours at time-and-a-half, she was paid 1.5x * 4.

For the final 5 hours at double time, she was paid 2x * 5.

The total amount she was paid for the week is given as 909.90.

So we can set up the equation:

x * 38 + 1.5x * 4 + 2x * 5 = 909.90

Simplifying this equation, we get:

38x + 6x + 10x = 909.90

54x = 909.90

x = 16.855

Therefore, Rani's hourly rate of pay is approximately $16.86 per hour (rounded to two decimal places).