# RE3 | anthropic/claude-haiku-4.5 | 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

**9 hours**

## Work

Assuming all workers perform at the same rate, the total amount of work remains constant. Work can be expressed as the product of workers and time.

**Step 1: Calculate total work**

Total work = Number of workers × Time

With 3 workers: Total work = 3 × 12 = 36 worker-hours

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

Using the same total work with 4 workers:

36 worker-hours = 4 workers × Time

Time = 36 ÷ 4 = 9 hours

The relationship is **inversely proportional**: more workers complete the job faster. Increasing workers from 3 to 4 (a 33% increase) reduces time from 12 to 9 hours (a 25% decrease).

Would you like to explore how this scales with different numbers of workers?
