# RE3 | anthropic/claude-haiku-4.5 | run 1

## 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

**4 workers would take 9 hours to build the same wall.**

## Solution

This is an inverse proportion problem. The key principle is that the total amount of work remains constant.

**Step 1: Calculate total work in worker-hours**

If 3 workers complete the job in 12 hours, the total work is:

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

**Step 2: Find time for 4 workers**

With 4 workers doing the same 36 worker-hours of work:

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

**Verification:** 4 workers × 9 hours = 36 worker-hours ✓

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Would you like to know how to solve similar problems with different scenarios, such as when workers have different productivity rates?
