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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

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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