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

Explanation

The number of 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.
`=>35×52=a×28`
`=>a= (35×52)/28`
`=>a=65`
Hence, `28` men can do the work in `65` days.