The 12th term and the sim of 1+3+5+7+.....
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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 = = 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.