Question

If $52$ men can do a piece of work in $35$ days, in how many days $28$ men will do it ?

Answer 1

The numberof men doing a work and the number of days taken are in inverse proportion.
Let the number of days taken by $28$ men be $a$
Then, $35:a::$ inverse ratio of $52:28$
$=>35:a=28:52$
Applying the rule, product of extremes $=$ product of means

$35\times 52=a\times 28$

$a=\frac{35\times 52}{28}$

$a=65$

Hence, $28$ men can do the work in $65$ days