You used an app to hire a repair worker to do a series of small repairs around your office. the worker charges $54 for the first hour, and $15.50 for each additional 15 minutes. if the worker charged you $162.50, how long did the repairs take?

The repair took:

                    2 hours and 45  minutes.

The worker charges $54 for the first hour, and $15.50 for each additional 15 minutes.

Let he does a job of additional 15 minutes for: x times.

This means that:

Cost for additional minutes will be: $ 15.50x

Hence, his total cost will be equal to: 54+15.50x

i.e.

54+15.50x=162.50

i.e.

15.50x=162.50-54

i.e.

15.50x=108.50

i.e.

x=108.50/15.50

x=7

Hence, the work took a total of:

60+15×7=165 minutes

which is: 2 hours and 45 minutes.