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Given:
40 skilled employees need 60 days to complete a project while working in the normal work schedule of 8 hours a day.
They begin working but one month into the project, 30 employees need to shift to a different project.
These 30 employees are replaced by 40 new employees who are 50% less productive.

Asked: How much extra time per day should the new team work to avoid any delay in the completion of the project?

40 skilled employees need 60 days to complete a project while working in the normal work schedule of 8 hours a day.
Work done by 40 skilled employees in 1 month while working in the normal work schedule of 8 hours a day = 1/2

They begin working but one month into the project, 30 employees need to shift to a different project.
These 30 employees are replaced by 40 new employees who are 50% less productive.

40 new employees who are 50% less productive = 20 effective employees with full productivity
40 - 30 = 10 employees remained
Number of effective employees with normal productivity remaining = 10 + 20 = 30 employees

20 + 10 = 30 employees will require time for completion per day = 40/30*8 = 32/3 = 10 2/3 hours = 10 hours 40 minutes
The extra time per day should the new team work to avoid any delay in the completion of the project = 10 hours 40 minutes - 8 hours = 2 hours 40 minutes.

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40 skilled employees × 60 days × 8 hours/day
= 19,200 man-hours total work
During first 30 days:
40 skilled employees × 30 days × 8 hours/day
= 9,600 man-hours completed
So remaining work:
19,200 − 9,600 = 9,600 man-hours left
30 employees leave.
Remaining skilled employees = 40 − 30 = 10 skilled employees
40 new employees join, but they are 50% as productive.
So each new employee = 0.5 of a skilled employee.
Effective productivity of 40 new employees =
40 × 0.5 = 20 skilled-employee equivalents
10 skilled + 20 equivalent = 30 skilled-employee equivalents
Remaining man-hours = 9,600
Available days = 30
Required man-hours per day:
9,600 ÷ 30 = 320 man-hours/day
320 ÷ 30 = 10.666... hours/day
10.666 hours =
10 hours + 0.666×60 minutes
0.666×60 = 40 minutes
→ 10 hours 40 minutes per day
The extra time per day should the new team work to avoid any delay in the completion of the project = 10 hours 40 minutes - 8 hours = 2 hours 40 minutes
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