An electrician was making $13.50 per hour and worked 40 hours per week. He bought a new truck and needed to make more money but was turned down for a raise. He got mad, quit, and was out of work for two weeks. He is now working at a new job that pays $14.25 per hour.

Working 40 hours per week at the new job, how many weeks will he have to work to make up for the pay he lost while out of work?

To calculate how many weeks the electrician needs to work at his new job to make up for the pay he lost during his two weeks of unemployment, we can follow these steps:

Calculate the weekly earnings at the old job:

Old job hourly wage = $13.50

Old job weekly hours = 40

Weekly earnings at the old job = $13.50/hour * 40 hours = $540

Calculate the total earnings lost during the two weeks of unemployment:

Total earnings lost = 2 weeks x $540/week

= $1,080

Determine the new job's hourly wage:

New job hourly wage = $14.25

Calculate how much the electrician will earn per week at the new job:

New job weekly earnings = $14.25/hour x 40 hours

= $570

Calculate how many weeks it will take to make up for the lost earnings:

Weeks required = Total earnings lost / New job weekly earnings

= $1,080 / $570

≈ 1.89 weeks

Since you can't work a fraction of a week, it will take the electrician approximately 2 weeks at the new job to make up for the lost pay during his two weeks of unemployment.

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