# RE3 | deepseek/deepseek-v4-pro | run 2

## Prompt

If 3 workers build a wall in 12 hours, how long would 4 workers take to build the same wall working at the same rate? Show your work.

## Response

It takes **9 hours** for 4 workers to build the same wall.

### Step-by-step work

The total amount of work required to build the wall is constant. Work can be expressed as:

\[
\text{Work} = \text{Number of workers} \times \text{Time}
\]

With 3 workers taking 12 hours:

\[
\text{Work} = 3 \times 12 = 36 \text{ worker-hours}
\]

Now, if 4 workers do the same job at the same individual rate, let \( t \) be the time in hours:

\[
4 \times t = 36
\]

\[
t = \frac{36}{4} = 9
\]

Thus, the wall is finished in 9 hours.

Would you like to explore how changing other variables (like more complex multi-step jobs) affects this kind of work-rate problem?
