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36 Men Can Complete a Piece of Work in 18 Days. In How Many Days will 27 Men Complete the Same Work?

  • 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

  1. Men
  2. 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.

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