\begin{tabular}{l} If it takes 8 hours to paint a house, what \\ part of the work is completed after 4 \\ hours? \\ \hline \( 1 / 2 \) \\ \hline \( 1 / 12 \) \\ \hline \( 1 / 32 \) \\ \hline 2\end{tabular}

To determine what part of the work is completed after 4 hours when it takes 8 hours to paint a house, we can set up the problem as follows: 1. The total work required to paint the house is considered as 1 whole unit of work. 2. If it takes 8 hours to complete the entire work, then the rate of work is: \[ \text{Rate of work} = \frac{1 \text{ house}}{8 \text{ hours}} = \frac{1}{8} \text{ houses per hour} \] 3. After 4 hours, the amount of work completed can be calculated by multiplying the rate of work by the time worked: \[ \text{Work completed in 4 hours} = \text{Rate of work} \times \text{Time} = \frac{1}{8} \text{ houses per hour} \times 4 \text{ hours} = \frac{4}{8} = \frac{1}{2} \] Thus, the part of the work completed after 4 hours is \( \frac{1}{2} \). The correct answer is: \[ \frac{1}{2} \]