Let 1 normal man’s productivity per hour =
1 unit.
Total work
40 men × 8 hr/day × 60 days =
19200 unitsWork completed in first 20 days
40 × 8 × 20 =
6400 unitsRemaining work:
19200 − 6400 =
12800 unitsRemaining time =
40 daysNew team after 20 days
25 normal men remain
15 replacements join, each only
1/3 as productive25 original men remain =
25 units/hr15 new men at 1/3 efficiency =
15/3 = 5 units/hrSo total new rate:
25 + 5 =
30 units/hrLet new daily work hours =
h30 × h × 40 = 12800
1200h = 12800
\(h = 10\frac{2}{3}\)
=
10 hours 40 minutesExtra time needed
10 hr 40 min − 8 hr =
2 hr 40 minAns DExpertsGlobal5
40 men were to take 60 days to complete a project while working 8 hours a day. 20 days into the project, 15 men leave and are replaced by employees only one-third as productive. How much extra time per day will the new team need to work to complete the project on time?
A. 10 hours 40 minutes
B. 9 hours 50 minutes
C. 3 Hours 20 minutes
D. 2 Hours 40 minutes
E. 1 Hour 50 minutes
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