SOLUTION: Y men can do a job in 20 days. They work for 8 days and rest for 4 days. For them to complete the same job they need 16 more men. What is the initial number of men,

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Y men can do a job in 20 days. They work for 8 days and rest for 4 days. For them to complete the same job they need 16 more men. What is the initial number of men,      Log On


   



Question 710713: Y men can do a job in 20 days. They work for 8 days and rest for 4 days. For them to complete the same job they need 16 more men. What is the initial number of men,
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Y men can do a job in 20 days.
therefore
20y man-days required to do the job
:
They work for 8 days and rest for 4 days. For them to complete the same job they need 16 more men.
What is the initial number of men,
:
Assume they mean they want to finish in 20 days. The additional 16 men will work for 8 days, plus the the original group works for 8 more days.
:
8y + 8(y+16) = 20y
8y + 8y + 128 = 20y
16y + 128 = 20y
128 = 20y - 16y
128 = 4y
y = 128/4
y = 32 men initially