In a Dairy Farm 40 Cows Eat 40 Bags of Husk in 40 Days. In How Many Days One Cow will Eat One Bag of Husk?

  • 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

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Three given entities here are

  1. Cows
  2. Bags
  3. 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.

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