SOLUTION: If 6 men can do a piece of work in 14 days, how many men are needed to do the work in 21 days?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: If 6 men can do a piece of work in 14 days, how many men are needed to do the work in 21 days?      Log On


   



Question 126538: If 6 men can do a piece of work in 14 days, how many men are needed to do the work in 21 days?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
If 6 men can do the job in 14 days, it will take 1 man 6 times as long
so. 1 man will take 6%2A14+=+84 days
x%2F21+=+1%2F84
You can read this as: what part of the job can be done by 1 man in 21 days
if 1 man can do 1 job in 84 days
x+=+1%2F4
So, 1 man can do 1/4 of the job in 21 days
And 4 men can do 4 times as much, or 1 job, done in the same amount tof time
It takes 4 men to do the job in 21 days