I believe that the following reflects the intent of the problem:
A job is to be completed by 104 men, each working at a constant rate for 8 hours per day. After 30 days, 2/5 of the job is completed. If each man increases his time per day to 9 hours, how many additional men must be employed to complete the remainder of the job in 26 days?
We can use the following formula:
(number of workers)(hours per day)(number of days)/output = (number of workers)(hours per day)(number of days)/output
Let the job = 5 units, implying that 2 of the units are completed in the first 30 days and that the remaining 3 units must be produced in the final 26 days.
Let x = the number of workers required to produce the remaining 3 units in 26 days.
104 men working 8 hours per day for 30 days produce 2 units.
We want to determine how many workers are required to produce 3 units in 26 days if the number of hours per day is increased to 9.
Plugging these values into the formula above, we get:
(104)(8)(30)/2 = (x)(9)(26)/3
Solving the resulting equation, we get:
x = 160.
Since the number of workers must increase from 104 to 160, the number of additional workers = 160-104 =
56.
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