Question

If a farmer wants to plough a farm field on time, he must plough 120 hectares a day. For technical reasons he ploughed only 85 hectares a day, hence he had to plough 2 more days than he planned and he still has 40 hectares left. What is the area of the farm field and how many days the farmer planned to work initially?​

Answer 1

Answer:

Let the no of days be x days.

So total area is 120x.

But the farmer actually ploughs 85 acres a day requiring 2 more days to finish.

But still 40 acres were left ploughing.

So total acres is 85(x+2)+ 40

Then the equation can be set as

85(x+2) +40=120x

x comes to 6

So total area of the field is 120*6= 720 acres

The initial no of days calculated by the farmer was 6 days.