To find out what time the plumber finished the repairs, we first need to determine how many hours he worked.
The plumber charges a base fee of $65 for the visit plus $75 for each hour worked. The total bill can be expressed with the equation:
\[ \text{Total Bill} = \text{Base Fee} + (\text{Hourly Rate} \times \text{Hours Worked}) \]
Plugging in the known values:
\[ 196.25 = 65 + (75 \times \text{Hours Worked}) \]
Now, subtract the base fee from the total bill:
\[ 196.25 - 65 = 75 \times \text{Hours Worked} \]
This simplifies to:
\[ 131.25 = 75 \times \text{Hours Worked} \]
Next, divide both sides by 75 to solve for the hours worked:
\[ \text{Hours Worked} = \frac{131.25}{75} = 1.75 \text{ hours} \]
Now, convert 1.75 hours into hours and minutes:
1.75 hours = 1 hour and 0.75 of an hour (0.75 hours is 45 minutes).
So, the plumber worked for 1 hour and 45 minutes.
Since he arrived at Xavien's house at 9:30 p.m., we add 1 hour and 45 minutes to that time:
- 9:30 p.m. + 1 hour = 10:30 p.m.
- 10:30 p.m. + 45 minutes = 11:15 p.m.
Thus, the plumber finished repairing the leak at 11:15 p.m.
1 answer