1. Stating the problem: We have 14 workers who can build a wall in 42 days. We want to find out how many days it would take for one worker to build the same wall. 2. Understanding the work rate: The total work to build the wall is the same. If 14 workers take 42 days, then the total work done is $14 \times 42$ worker-days. 3. Calculating total work: $$\text{Total work} = 14 \times 42 = 588 \text{ worker-days}$$ 4. One worker's time: Since one worker does the same total work alone, the number of days required is the total worker-days divided by 1 worker. $$\text{Days for one worker} = 588$$ days. 5. Conclusion: One worker will take 588 days to build the wall alone.