Answer:
1. Area of the land which can be ploughed daily is 50 hectares (and 70 hectares at higher rate)
2. Area of the field is 700 hectares
Step-by-step explanation:
Let x hectares be the number of hectares the farmers normally ploughed in a day. At this rate, they will complete the work in 14 days, so they have to plough
[tex]14\cdot x=14x\ hectares.[/tex]
Then x+20 hectares is the number of hectares the farmers ploughed in a day when they increased their productivity of work. At this rate, they will complete the work in 10 days, so they have to plough
[tex]10\cdot (x+20)=10(x+20)\ hectares.[/tex]
The work is the same, so
[tex]14x=10(x+20)\\ \\14x=10x+200\\ \\14x-10x=200\\ \\4x=200\\ \\x=50[/tex]
Ploughing 50 hectares each day 14 days in a row they will plough
[tex]14\cdot 50=700\ hectares[/tex]
