Question:
12 men can dig a pond in 8 days. How many men can dig it in 6 days?
Solution:
Let x be the required number of men. Then, we have:
| No. of days | 8 | 6 |
| No. of men | 12 | x |
Clearly, more men will require less number of days to dig the pond.
So, it is a case of inverse proportion.
Now, $8 \times 12=6 \times x$
$\Rightarrow x=\frac{8 \times 12}{6}$
$\Rightarrow x=16$
Therefore, 16 men can dig the pond in 6 days.