SOLUTION: 45 men can complete the work in 16 days. four days after they started working, 36 more men joined them. How many days will they now take to complete the remaining work? a)6 days

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Question 1028228: 45 men can complete the work in 16 days. four days after they started working, 36 more men joined them. How many days will they now take to complete the remaining work?
a)6 days
b)8 days
c)6 2/3 days
d)7 3/4 days

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
If it takes 45 men 16 days to do the job the whole job takes
45 * 16 = 720 man-days
After four days, they have completed 1/4 of the job.
Thus 3/4 of the job remains; that should take 540 man-days.
With 36 more men working, that brings the total number of men to 81.
The number of days is then found by
540/81 = 6 2/3 days
Choice c.