# 12 men can dig a pond in 8 days.

Question:

12 men can dig a pond in 8 days. How many men can dig it in 6 days?

Solution:

Let 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.
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