Question 65059: If 6 men can do a piece of work in 14 days, how many men are needed to do the same work in 21 days? Found 2 solutions by tutorcecilia, ptaylor:Answer by tutorcecilia(2152) (Show Source):
You can put this solution on YOUR website! if 6 men/14 days than, than x men/21 days [set-up as a proportion problem]
6 men/14 days = x men/21 days [set the ratios equal to each other and cross-multiply]
.
(6)(21)=14x
126=14x [solve for x]
x=9
.
checking:
6 men/14 days = 9 men/21 days
126=126 [checks out]
You can put this solution on YOUR website!
If 6 men can do the piece of work in 14 days, then one man requires (6)(14) or 84 days to do it. In other words, the job takes 84 man-days
1 man takes 84 days
2 men takes 42 days
4 men takes 21 days
Let x= number of men required to do the job in 21 days
21 times x = number of man-days required to do the job and that equals 84
21x=84
x=4
