To determine how many hours it took for the electrician to complete the repair, we can set up an equation based on the pricing structure given:
The total bill is the sum of the one-time fee plus the hourly rate times the number of hours worked. The equation can be represented as:
\[ \text{Total Bill} = \text{One-time fee} + (\text{Hourly rate} \times \text{Hours}) \]
Substituting the values we have:
\[ 252.50 = 60 + (55 \times h) \]
where \( h \) is the number of hours worked.
Now, we can solve for \( h \):
- Subtract the one-time fee from both sides:
\[ 252.50 - 60 = 55h \]
\[ 192.50 = 55h \]
- Now, divide both sides by 55 to isolate \( h \):
\[ h = \frac{192.50}{55} \]
Calculating the result:
\[ h = 3.5 \]
So, it took the electrician 3.5 hours to complete the repair.
Finding the Finish Time
If the electrician arrived at 10:30 a.m. and worked for 3.5 hours, we can calculate the finish time by adding 3.5 hours to the arrival time.
- Convert 3.5 hours into hours and minutes.
3.5 hours is equivalent to 3 hours and 30 minutes.
- Starting from 10:30 a.m., add 3 hours:
- 10:30 a.m. + 3 hours = 1:30 p.m.
- Now add 30 minutes to 1:30 p.m.:
- 1:30 p.m. + 30 minutes = 2:00 p.m.
Thus, the electrician finished the repair at 2:00 p.m.
Summary:
- The number of hours worked: 3.5 hours
- Finish time: 2:00 p.m.