- In a dairy farm 40 cows eat 40 bags of husk in 40 days.

- Days in which one cow will eat one bag of husk can be figure out in this way.

## Explanation

Three given entities here are

- Cows
- Bags
- Days

To determine the relation here, let suppose; Days in which one cow will eat one bag of husk = y

__Case I__

Cows Days

40 40

1 y

- More cows can consume more bags of husk in limited days.
- Less cows will take more days to finish the given bags of husk.

This clearly indicates that there is inverse relation.

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

1 : 40 :: 40 : y ________ (i)

__Case II__

Bags Days

40 40

1 y

- More hours mean more days.
- Less bags mean less days.

This clearly indicates that there is direct relation.

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

40 : 1 :: 40 : y ________ (ii)

By (i) and (ii)

1 : 40 :: 40 : y

40 : 1

1 x 40 x y = 40 x 1 x 40 ________ (A)

After simplifying equation (A), we can easily figure out the value of y (y = 40)

## To Find

Days in which one cow will eat one bag of husk = ?

## Solution

__Method I__

Let suppose

Days in which one cow will eat one bag of husk = y

Cows Bags Days

40 40 40

1 1 y

- Relation between cows and days is inverse.
- Relation between bags and days is direct so;

1 : 40 :: 40 : y

40 : 1

1 x 40 x y = 40 x 1 x 40

40y = 40 x 40

y = (40 x 40)/40

y = 40 days

**Days in which one cow will eat one bag of husk**** = 40 days answer**

__Method II__

Days in which 40 cows eat 40 bags of husk = 40 days

Days in which 1 cow eat 40 bags of husk = 40 x 40 days

Days in which 1 cow eat 1 bag of husk = (40 x 40)/40 days

Days in which 1 cow eat 1 bag of husk = 40 days

**Days in which one cow will eat one bag of husk**** = 40 days answer**

### Conclusion

In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In 40 days one cow will eat one bag of husk.