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 the field?

Answer 1

Step-by-step explanation:

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