- 36 men can complete a piece of work in 18 days.

- Days required for 27 men to complete the same work can be figure out in this way.

## Explanation

Two given entities here are

- Men
- Days

To determine the relation here, let suppose; days required by 27 men to complete the job = y

__Case__

As we know that;

Men Days

36 18

27 y

- Days decreases as men increases.
- Days increases as men decreased.

This clearly indicates that there is inverse relation.

Direct/Indirect relation tells how the equation will be written.

36 : 27 :: y : 18 ________ (A)

After simplifying equation (A), we can easily figure out the value of y (y = 24)

## To Find

Days required by 27 men to complete the job = ?

## Solution

__Method I__

Let suppose

Days required by 27 men to complete the job = y

Men Days

36 18

27 y

Relation between men and days is inverse, so;

36 : 27 :: y : 18

36 x 18 = 27 x y

648 = 27y

24 = y

**Days required by 27 men to complete the job**** = 24 days answer**

__Method II__

36 men can do work = 18 days

1 man can do work = 18 x 36

1 man can do work = 648

27 men can do work = 648/27

27 men can do work = 24 days

**Days required by 27 men to complete the job**** = 24 days answer**

**Conclusion**

36 men can complete a piece of work in 18 days. 27 men will take 24 days to complete the job.