You are paid 1.5 times your normal hourly rate for each hour you work over 30 hours in a week. You work 33 hours this week and earn $594.78.
What is your normal hourly rate?
1.5

Answers

The normal hourly rate is $17.24.

In the question, we are given that we are paid 1.5 times our normal hourly rate for each hour we work over 30 hours in a week.

We are asked to find the normal hourly rate if we work for 33 hours this week and earned $594.78.

We assume the normal hourly rate to be $x.

While working for 33 hours, we work 33 – 30 = 3 extra hours.

Thus, we are paid at the normal hourly rate of $x for 30 hours and at 1.5 times the normal hourly rate, which is $1.5x for the additional 3 hours.

Thus, the total earning can be shown as $x*30 + $1.5x*3 = $(30x + 4.5x) = $34.5x.

But, we are given that the total earnings for the week after working for 33 hours is $594.78.

Thus, we can equate the two to get an equation, 34.5x = 594.78, which on solving gives us x = 17.24.

normal hourly rateis$17.24.normal hourly ratefor each hour we work over 30 hours in a week.earningcan be shown as $x*30 + $1.5x*3 = $(30x + 4.5x) = $34.5x.normal hourly rateis$17.24.normal hourly rateat