Answer: Let's assume that Paul can pick x bushels of apples in one hour.
We can use the following formula to solve the problem:
Rate × Time = Work
where "Rate" is the amount of work done in one hour, "Time" is the number of hours worked, and "Work" is the total amount of work done.
We know that Paul and Daniel can pick 40 bushels of apples in 4.95 hours when working together. Therefore, their combined rate is:
(40 bushels) / (4.95 hours) = 8.08 bushels/hour
We also know that if Daniel had worked alone, it would have taken him 9 hours to pick 40 bushels of apples. Therefore, Daniel's rate is:
(40 bushels) / (9 hours) = 4.44 bushels/hour
We can now use these rates to set up two equations:
x + 4.44 = 8.08 (equation 1: their combined rate)
x = 8.08 - 4.44 (substitute 4.44 for the rate of Daniel)
x = 3.64 bushels/hour (solve for x)
We can now use x to find how long it would take Paul to pick 40 bushels of apples alone:
x × time = 40
3.64 × time = 40
time = 11 hours (rounded to the nearest whole number)
Therefore, it would take Paul 11 hours to pick 40 bushels of apples alone.
Explanation: