# RE3 | moonshotai/kimi-k3 | 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

**Answer: 9 hours.**

The wall requires a fixed amount of total labor, so workers and time are inversely proportional.

**Step 1 — Find total work in worker-hours:**

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

**Step 2 — Divide by the new number of workers:**

\[ t = \frac{36 \text{ worker-hours}}{4 \text{ workers}} = 9 \text{ hours} \]

Check: more workers means less time, and \( 9 < 12 \), so the result is consistent.

Want to see how this generalizes to any number of workers with the formula \( t = \frac{36}{n} \)?
