- If 8 men can reap 80 hectares in 24 days.
- The hectares that 36 men can reap in 30 days will be figure out in this way.
Explanation
Three given entities here are
- Men
- Days
- Hectares
To determine the relation here, let suppose; The hectares that 36 men can reap in 30 days = y
Case I
Men Hectares
8 80
36 y
- More men mean more hectares.
- Less men mean less hectares.
This clearly indicates that there is direct relation.
Direct/Indirect relation tells how the equation will be written.
8 : 36 :: 80 : y ________ (i)
Case II
Days Hectares
24 80
30 y
- More days mean more hectares.
- Less days mean less hectares.
This clearly indicates that there is direct relation.
Direct/Indirect relation tells how the equation will be written.
24 : 30 :: 80 : y ________ (ii)
By (i) and (ii)
8 : 36 :: 80 : y
24 : 30
8 x 24 x y = 36 x 80 x 30 ________ (A)
After simplifying equation (A), we can easily figure out the value of y (y = 450)
To Find
The hectares that 36 men can reap in 30 days = ?
Solution
Method I
Let suppose
The hectares that 36 men can reap in 30 days = y
Men Days Hectares
8 24 80
36 30 y
- Relation between men and hectares is direct.
- Relation between days and hectares is also direct.
8 : 36 :: 80 : y
24 : 30
8 x 24 x y = 36 x 80 x 30
192y = 86400
y = 86400/192
y = 450 hectares
The hectares that 36 men can reap in 30 days = 450 hectares answer
Method II
The hectares that 8 men can reap in 24 days = 80 hectares
The hectares that 8 men can reap in 1 day = 80/24 hectares
The hectares that 1 man can reap in 1 day = 80/(24 x 8) hectares
The hectares that 36 men can reap in 1 day = (80 x 36)/(24 x 8) hectares
The hectares that 36 men can reap in 30 days = (80 x 36 x 30)/(24 x 8) hectares
The hectares that 36 men can reap in 30 days = 86400/192 hectares
The hectares that 36 men can reap in 30 days = 450 hectares
The hectares that 36 men can reap in 30 days = 450 hectares answer
Conclusion
If 8 (eight) men can reap 80 (eighty) hectares in 24 (twenty four) days then 450 (four hundred and fifty) hectares can 36 men reap in 30 days.
