This is an inverse proportion problem. The total amount of work is constant. Let W be the total work.
Work = Number of workers × Number of days
First, calculate the total work:
\[ W = 6 \text{ workers} \times 20 \text{ days} = 120 \text{ worker-days} \]
Now, we want to complete the same amount of work (120 worker-days) in 8 days. Let 'n' be the number of workers needed.
\[ W = n \text{ workers} \times 8 \text{ days} \]
\[ 120 \text{ worker-days} = n \times 8 \text{ days} \]
To find 'n', divide the total work by the new number of days:
\[ n = \frac{120 \text{ worker-days}}{8 \text{ days}} = 15 \text{ workers} \]
Therefore, 15 workers are needed to complete the job in 8 days.
Ответ: 15