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If 20 Men can Build a Wall 56 Meters Long in 6 Days, What Length of a Similar Wall can be Built by 35 Men in 3 Days?

  • If 20 men can build a wall 56 meters long in 6 days.
  • Length of a similar wall built by 35 men in 3 days can be figure out in this way.

Explanation

Three given entities here are

  1. Men
  2. Days
  3. Length of Wall

To determine the relation here, let suppose length of wall built by 35 men in 3 days = y

Case I

Men           Length of Wall

20               56

35               y

  • More men can build longer wall.
  • Less men can build a wall but not much longer.

This clearly indicates that there is direct relation.

Direct/Indirect relation tells how the equation will be written.

20 : 35  ::  56 : y ________ (i)

Case II

Days           Length of Wall

6                 56

3                 y

  • More days means more time to build longer wall.
  • Less days means little time to build a wall.

This clearly indicates that there is direct relation.

Direct/Indirect relation tells how the equation will be written.

6 : 3  ::  56 : y ________ (ii)

By (i) and (ii)

20 : 35 :: 56 : y

  6 : 3

35 x 3 x 56 = 20 x 6 x y ________ (A)

After simplifying equation (A), we can easily figure out the value of y (y = 49)

To Find

Length of wall built by 35 men in 3 days = ?

Solution

Method I

Let suppose

Length of wall built by 35 men in 3 days = y

Men           Days           Length of Wall

20               6                 56

35               3                 y

Relation between men and length of wall & days and length of wall is direct so;

20 : 35 :: 56 : y

6 : 3

35 x 3 x 56 = 20 x 6 x y

5880 = 120y

y = 5880/120

y = 49 meters

Length of wall built by 35 men in 3 days = 49 meters answer

Method II

20 men can build a wall in 6 days = 56 meters

20 men can build a wall in 1 day = 56/6 meters

20 men can build a wall in 1 day = 9.333 meters

1 man can build a wall in 1 day = 9.333/20 meters

1 man can build a wall in 1 day = 0.467 meters

35 men can build a wall in 1 day = 0.467 x 35 meters

35 men can build a wall in 1 day = 16.333 meters

35 men can build a wall in 3 days = 16.333 x 3 meters

35 men can build a wall in 3 days = 49 meters

Length of wall built by 35 men in 3 days = 49 meters answer

Conclusion

If 20 men can build a wall 56 meters long in 6 days, then 49 meters length of a similar wall can be built by 35 men in 3 days.

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