To find out how many hours the electrician worked, we can set up an equation based on the given information.
We know the total charge is made up of a $50 traveling fee plus $90 per hour for the time worked. We can express the total charge (C) as:
\[ C = 90h + 50 \]
where \( h \) is the number of hours worked.
We know that the total charge is $410, so we can set up the equation:
\[ 410 = 90h + 50 \]
Now, we can solve for \( h \):
- Subtract $50 from both sides:
\[ 410 - 50 = 90h \] \[ 360 = 90h \]
- Now, divide both sides by 90:
\[ h = \frac{360}{90} = 4 \]
Thus, the electrician worked 4 hours.