SOLUTION: 2. A man can do a job in h hours alone and his son can do it in 2h hours alone. Together, how many hours will it take them to do the job?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: 2. A man can do a job in h hours alone and his son can do it in 2h hours alone. Together, how many hours will it take them to do the job?       Log On


   



Question 794829: 2. A man can do a job in h hours alone and his son can do it in 2h hours alone. Together, how many hours will it take them to do the job?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A man can do a job in h hours alone and his son can do it in 2h hours alone.
Together, how many hours will it take them to do the job?
:
Let t = the time required when they work together
Let the completed job = 1
:
A shared work equation where:
Each will do a fraction of the job, the two fraction add up to 1
t%2Fh + t%2F%282h%29 = 1
multiply equations by 2h, resulting in
2t + t = 2h
3t = 2h
t = 2%2F3h hrs working together