SOLUTION: If David finish a roof in 9 hours and Kevin finish a roof in 6 hours.how long would it take if they work together?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: If David finish a roof in 9 hours and Kevin finish a roof in 6 hours.how long would it take if they work together?      Log On


   



Question 968900: If David finish a roof in 9 hours and Kevin finish a roof in 6 hours.how long would it take if they work together?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
If David finish a roof in 9 hours and Kevin finish a roof in 6 hours.
how long would it take if they work together?
:
let t = time required when working together
let the completed job = 1
:
A typical shared work equation, each will do a fraction of the job, the two fractions add up to 1
t%2F9 + t%2F6 = 1
multiply equation by 18, cancel the denominators and you have
2t + 3t = 18
5t = 18
t = 18/5
t = 3.6 hrs working together