Question

Navid earns a basic wage of $10.25 an hour. He works for 40 hours a week. He earns 20% more than his basic wage when he works overtime. Navid wants to earn at least $500 this week. Calculate the total number of hours he needs to work. Give your answer to the nearest hour.​

Answer 1

Navid's earnings for working 40 hours without overtime are:

$10.25/hour x 40 hours = $410

To earn at least $500, Navid needs to earn an additional $90 ($500 - $410).

To earn 20% more than his basic wage, Navid would earn:

$10.25/hour x 1.2 = $12.30/hour for each overtime hour

So, Navid needs to work:

$90 ÷ ($12.30/hour - $10.25/hour) = 47.4 hours

Since Navid cannot work a fraction of an hour, he needs to work 48 hours to earn at least $500.

Therefore, Navid needs to work for a total of 40 hours + 8 hours of overtime, which is 48 hours in total (rounded up to the nearest hour).