- 36 men can complete a piece of work in 18 days.
- Days required for 27 men to complete the same work can be figure out in this way.
Explanation
Two given entities here are
- Men
- Days
To determine the relation here, let suppose; days required by 27 men to complete the job = y
Case
As we know that;
Men Days
36 18
27 y
- Days decreases as men increases.
- Days increases as men decreased.
This clearly indicates that there is inverse relation.
Direct/Indirect relation tells how the equation will be written.
36 : 27 :: y : 18 ________ (A)
After simplifying equation (A), we can easily figure out the value of y (y = 24)
To Find
Days required by 27 men to complete the job = ?
Solution
Method I
Let suppose
Days required by 27 men to complete the job = y
Men Days
36 18
27 y
Relation between men and days is inverse, so;
36 : 27 :: y : 18
36 x 18 = 27 x y
648 = 27y
24 = y
Days required by 27 men to complete the job = 24 days answer
Method II
36 men can do work = 18 days
1 man can do work = 18 x 36
1 man can do work = 648
27 men can do work = 648/27
27 men can do work = 24 days
Days required by 27 men to complete the job = 24 days answer
Conclusion
36 men can complete a piece of work in 18 days. 27 men will take 24 days to complete the job.
