- 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.
