An electrician charges $60 as a one-time fee plus an additional $55 per hour. If the total bill is $252.50, how many hours did it take for the electrician to complete the repair?

Answer 1

To find out how many hours it took for the electrician to complete the repair, we need to set up an equation based on the information provided.

The electrician charges a one-time fee of $60 and an hourly rate of $55. Let \( h \) represent the number of hours worked. The total cost can be expressed as:

\[ \text{Total Cost} = \text{One-time Fee} + (\text{Hourly Rate} \times \text{Hours Worked}) \] Substituting the known values, we have:

\[ 252.50 = 60 + 55h \]

To solve for \( h \), we first subtract the one-time fee from both sides:

\[ 252.50 - 60 = 55h \]

Calculating the left side:

\[ 192.50 = 55h \]

Next, we divide both sides by 55 to find \( h \):

\[ h = \frac{192.50}{55} \]

Calculating this division:

\[ h = 3.5 \]

Thus, it took the electrician \( \boxed{3.5} \) hours to complete the repair.