SOLUTION: Roger can complete a job in 5 hours and Alex can complete the same job in 10 hours. How many hours will it take both of them to complete the job if they work together?

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Roger can complete a job in 5 hours and Alex can complete the same job in 10 hours. How many hours will it take both of them to complete the job if they work together?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 678489: Roger can complete a job in 5 hours and Alex can complete the same job in 10 hours. How many hours will it take both of them to complete the job if they work together?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Roger can complete a job in 5 hours and Alex can complete the same job in 10 hours.
How many hours will it take both of them to complete the job if they work together?
:
Let t = time working together
Let the completed job = 1
;
t%2F5 + t%2F10 = 1
2t + t = 10
;
3t = 10
;
t = 10/3
;
t = 31%2F3 hrs