1. State the problem: We know 30 workers can dig a well in 180 hours. We want to find how many workers are needed to dig the same well in 60 hours. 2. Understand the relationship: The amount of work to dig the well is constant. If more workers are employed, the time taken decreases, assuming all workers work at the same rate. 3. Use the concept of work: Let the number of workers needed be $x$. The total work done is the same, so we have the equation $\text{workers} \times \text{time} = \text{constant}$, which gives: $$30 \times 180 = x \times 60$$ 4. Solve for $x$: $$x = \frac{30 \times 180}{60}$$ $$x = 30 \times 3 = 90$$ 5. Conclusion: To dig the well in 60 hours, 90 workers are needed.