Final answer:
Sam alone can mow the lawn in 24 hours. Therefore, Fred alone would also take 24 hours to mow the lawn.
Step-by-step explanation:
To find how many hours Fred would take to mow the lawn, we need to consider that the rate at which one person can mow is given by the equation y = 1350 - 1.2x, where y represents the number of acres left to mow and x is the number of hours worked.
Since we know that Sam alone can mow the lawn in 24 hours, we can substitute x = 24 into the equation to find the number of acres left to mow after 24 hours. Let's calculate it:
y = 1350 - 1.2(24)
y = 1350 - 28.8
y = 1321.2 acres
Therefore, after 24 hours of work, 1321.2 acres are left to mow. Now, we can use this information to determine how many hours Fred would take to mow the lawn. Let's calculate it:
1321.2 = 1350 - 1.2x
1.2x = 1350 - 1321.2
1.2x = 28.8
x = 24
Therefore, Fred alone would also take 24 hours to mow the lawn.