SOLUTION: Four men working together can dig a ditch in 42 days. They begin, but one man works only half-days. How long will it take to complete the job? -- The answer is 48 days, but how d

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Four men working together can dig a ditch in 42 days. They begin, but one man works only half-days. How long will it take to complete the job? -- The answer is 48 days, but how d      Log On


   



Question 397884: Four men working together can dig a ditch in 42 days. They begin, but one man works only half-days. How long will it take to complete the job?
-- The answer is 48 days, but how do I get there? Been a 10+ years since I've done a problem like this. Thank you!

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Four men working together can dig a ditch in 42 days.
Find the number of man-days to complete the job
4*42 = 168 man-days
:
They begin, but one man works only half-days.
How long will it take to complete the job?
Let d = no. days to complete the job
d(3 + .5) = 168
3.5d = 168
d = 168%2F3.5
d = 48 days