SOLUTION: 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.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 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.      Log On


   

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.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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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%2F6
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