# RE3 | google/gemini-3.6-flash | 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

Four workers would take 9 hours to build the same wall working at the same rate. This inverse proportion problem calculates the total worker-hours required to determine the adjusted completion time.

## Calculation Step-by-Step

**1. Calculate Total Workload**
The total amount of work needed to build the wall is measured in worker-hours:
\[ \text{Total Work} = \text{Workers} \times \text{Time} \]
\[ \text{Total Work} = 3 \times 12 = 36 \text{ worker-hours} \]

**2. Calculate Required Time for 4 Workers**
Using the total workload, solve for time \( t \) when 4 workers are assigned:
\[ \text{Time} = \frac{\text{Total Work}}{\text{Number of Workers}} \]
\[ t = \frac{36}{4} = 9 \text{ hours} \]

Would you like to calculate the completion time for a different number of workers or a wall of varying dimensions?
