# RE3 | meta/muse-spark-1.1 | 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 would take 4 workers **9 hours** to build the same wall. This is an inverse proportion problem — more workers means less time for the same amount of total work.

## Solution

**1. Calculate the total work required**
The total work is constant and measured in worker-hours:

\[ \text{Total Work} = \text{Number of Workers} \times \text{Time} \]
\[ \text{Total Work} = 3 \times 12 = 36 \text{ worker-hours} \]

**2. Calculate the time for 4 workers**
Divide the total work by the new number of workers:

\[ \text{Time} = \frac{\text{Total Work}}{\text{Number of Workers}} \]
\[ \text{Time} = \frac{36}{4} = 9 \]

**Answer: 9 hours**

This assumes all workers work at the exact same rate and can work simultaneously without getting in each other's way.

Want me to show you the general formula for any number of workers?
