Question

Mark (✓) against the correct answer:
35 men can reap a field in 8 days. In how many days can 20 men reap it?
(a) 14 days
(b) 28 days
(c) $87\frac{1}{2}$ days
(d) none of these

Answer 1

(a) 14 days
Let 20 men take x days to reap the field.

No. of days	8	$x$
No. of men	35	20

Clearly, less number of men will take more days.
So, it is a case of inverse proportion.

$$\begin{gathered} \mathrm{Now},8\times 35=x\times 20 \\ \Rightarrow x=\frac{8\times 35}{20} \\ \Rightarrow x=14 \end{gathered}$$

∴ 20 men can reap the field in 14 days.