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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

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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