If 8 Men can Reap 80 Hectares in 24 Days then How Many Hectares can 36 Men Reap in 30 Days?

  • 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

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Three given entities here are

  1. Men
  2. Days
  3. 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.

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