- 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

- Men
- Days
- 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.