SOLUTION: A highway took 48 men 30 weeks to construct. 75 days into the construction phase, 8 men resigned, Assuming that all men worked 7 days a week find the total number of days the proje

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Question 503778: A highway took 48 men 30 weeks to construct. 75 days into the construction phase, 8 men resigned, Assuming that all men worked 7 days a week find the total number of days the project was delayed
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A highway took 48 men 30 weeks to construct.
75 days into the construction phase, 8 men resigned,
Assuming that all men worked 7 days a week find the total number of days the project was delayed
:
Find the number of man-days to complete the highway (change weeks to days)
48 * (30*7) = 10,080 man-days
:
75 days into the construction phase, 8 men resigned,
48 * 75 = 3600
10080 - 3600 = 6480 more man-days required to complete the job
Let m = no. of days required by the 40 remaining men to complete the job
40m = 6480
m = 6480%2F40
m = 162 days more days after the resignation of 8 men
:
Assuming that all men worked 7 days a week find the total number of days the project was delayed
30*7 = 210 days planned with 48 men
but
75 + 162 = 237 days actually required
;
237 - 210 = 27 day delay in completing the job