Question:
If 35 men can reap a field in 8 days, in how many days can 20 men reap the same field?
Solution:
Let x be the required number of days. Then, we have:
| No. of days | 8 | x |
| No. of men | 35 | 20 |
Clearly, less men will take more days to reap the field.
So, it is a case of inverse proportion.
Now, $8 \times 35=x \times 20$
$\Rightarrow \frac{8 \times 35}{20}=x$
$\Rightarrow 14=x$
Therefore, 20 men can reap the same field in 14 days.