Question 351659
A field can be ploughed in 16 days.
 If 18 more hectares of land is ploughed daily, the work will be finished in 10 days. 
Find the area of the field.
:
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 = {{{180/6}}}
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