Workers Days
1. Stating the problem: We know that 14 workers can build a wall in 42 days, and we need to find out how many days it will take for one worker to build the same wall.
2. Understanding the relationship: The amount of work done is constant. If more workers work together, they finish the job faster. The work done can be expressed as: number of workers × number of days = total work.
3. Calculate total work: Since 14 workers take 42 days, total work $W = 14 \times 42 = 588$ worker-days.
4. Calculate days for one worker: If one worker does the same work, the number of days needed $d$ is given by $1 \times d = 588$, so $d = 588$ days.
Final answer: One worker will take 588 days to build the wall.