Question

A field can be ploughed in 14 days. If 20 hectares of land is ploughed more daily, the work will be finished in 10 days. Find the area of land which can be ploughed daily.

Answer 1

Let x = no. of hectares ploughed per day originally
The size of the field would be 16x
:
Let (x+18) = no. of hectares per day to finish in 10day
the size of the field would be 10(x+18)
:
A simple equation
16x = 10(x+18)
16x = 10x + 180
16x - 10x = 180
6x = 180
x = 
x = 30 hectares ploughed per day originally
then
16 * 30 = 480 hectares is the size of the field
:
:
Confirm this when he ploughs 30 + 18 = 48 hectares per day
10 * 48 = 480 hectares also

Answer 2

Answer:

let assume area of field = x

Area of field ploughed in 1 day = x/14

x/14 +20 = x/10

x/14 - x/10= 20

4a/140= 20

a = 20×140/4

= 700 hectares

everyday = a/14 = 700/14

= 50 hectares.