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Farmers mowed 60 acres of grass a day instead of 50 and managed to finish a task in 18 days instead of the planned 20 days. What was the total area of grass that needed to be mowed?
Farmers mowed 60 acres of grass a day instead of 50 and managed to finish a task in 18 days instead of the planned 20 days. What was the total area of grass that needed to be mowed?A) 900 acres
B) 1080 acres
C) 1140 acres
D) 1200 acres
Final answer:To find the total area of grass that needed to be mowed, we can subtract the area mowed in 18 days from the original area mowed in 20 days. Therefore, the correct answer is : (b).Explanation:To find the total area of grass that needed to be mowed, we need to calculate the area that would have been mowed in the original 20 days. We can use the formula:Area = Rate x TimeSince the rate at which one person can mow is given by ŷ = 1350 - 1.2x, we can substitute x = 20 into the equation to find the rate for 20 days:ŷ = 1350 - 1.2(20) = 1350 - 24 = 1326 acresThe area mowed per day is given as 60 acres instead of 50. Therefore, the area mowed in 18 days is:Area mowed in 18 days = 60 acres/day x 18 days = 1080 acresNow, we can find the total area of grass that needed to be mowed by subtracting the area mowed in 18 days from the original area mowed in 20 days:Total area of grass that needed to be mowed = Area mowed in 20 days - Area mowed in 18 days = 1326 acres - 1080 acres = 246 acresTherefore, the correct answer is option B) 1080 acres....