SOLUTION: 10 men can complete a job in 14 days. How long will it take 4 men to finish the same job if they work at the same rate?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: 10 men can complete a job in 14 days. How long will it take 4 men to finish the same job if they work at the same rate?      Log On


   



Question 921493: 10 men can complete a job in 14 days. How long will it take 4 men to finish the same job if they work at the same rate?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Let r be the rate for 1 man.
The rate for n men is nr.
RT=J rate time job, is the basic rule for uniform work rates.

10r%2A14=1 for one job.
4r%2At=1 for the same job but fewer men.
highlight%2810r%2A14=4r%2At%29
Solve for t.