You are interested in buying a new set of wireless headphones. You have recently started a part time job where you earn $15 an hour.

To determine how long it will take you to save up for a new set of wireless headphones, you need to consider the price of the headphones and how much of your earnings you can save.

Let's assume the wireless headphones you want to buy cost $150.

To determine how long it will take you to save up, divide the price of the headphones by your hourly wage:

$150 / $15 = 10 hours

So, it would take you approximately 10 hours of work to save up for the wireless headphones.

However, if you have other expenses or commitments, you may not be able to save all your earnings. In that case, you can calculate your savings rate and reflect that in the time it takes to save up. For example, if you save 50% of your earnings, you would only be able to save $7.50 for every hour of work.

$150 / $7.50 = 20 hours

In this scenario, it would take you approximately 20 hours of work to save up for the headphones.

Remember to consider other factors such as taxes and any potential discounts or sales that might affect the price of the headphones.