16 boys will do the same work in 3 days
6 boys can do a piece of work in 8 days. Mathematically:
6 boys = 8 days
If only one person works on the job then the amount of time will become six times:
1 boy = 6 x 8 = 48 days
Now, 16 boys start to work on that job so the amount of time will be reduced by the factor of 16:
[tex]16 \times 1 = ( \frac{48}{16} )[/tex]
= 3
Therefore, it'll take 16 boys 3 days to do the same work at the same rate.