Question

A group of farmers had to plough 112 acres of land per day. Exceeding the schedule by 8 acres per day, the farmers finished plowing one day earlier than expected. How many acres of land did the farmers have to plough?

Answer 1

The farmers had to plough a total of 1,456 acres of land.

Step-by-step explanation:

Step 1; The group of farmers ploughed at a rate of 112 acres of land a day which was 8 acres more than schedule.

Scheduled rate = 112 acres per day - 8 acres = 104 acres per day.

So the farmers were supposed to plough 104 acres a day according to schedule.

Step 2; If the farmers finished a day earlier, it means they had to have completed ploughing 104 acres extra by doing an extra 8 acres a day.

So days took to complete ploughing = $\frac{104}{8}$ = 13 days.

So in 13 days, they should have ploughed 13 × 104 = 1,352 acres but due to their increased rate, they ploughed 13 × 112 = 1,456 acres in 13 days.

Difference in acres ploughed = 1,456 - 1,352 = 104 acres.

So the farmers ploughed 1,456 acres in 13 days.