SOLUTION: I need help setting up the following word problem, please. Scott can install windows in 6 hours and Jordan can do the same job in 5 hours. How long would it take if they worked

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: I need help setting up the following word problem, please. Scott can install windows in 6 hours and Jordan can do the same job in 5 hours. How long would it take if they worked       Log On


   

Question 454830: I need help setting up the following word problem, please.
Scott can install windows in 6 hours and Jordan can do the same job in 5 hours. How long would it take if they worked together?
I'm not sure how to do this type of problem, therefore I am unsure if I'm even on the right track.
I believe it is set up like this 6+5=11 divided by 2?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Scott can install windows in 6 hours and Jordan can do the same job in 5 hours.
How long would it take if they worked together?
:
Let t = time required when they work together
:
Let the completed job = 1
:
A shared work equation (Each will do a fraction of the job, the two fractions add up to 1):
t%2F6 + t%2F5 = 1
Multiply by 30, results
5t + 6t = 30
11t = 30
t = 30%2F11
t = 2.73 hrs working together, 2 + .73(60) = 2 hrs 44 min
:
:
Check that
2.73/6 + 2.73/5 =
.455 + .546 = 1.00 hrs; confirms our solution of t = 2.73 hrs