SOLUTION: zach can wash all the windows in his house in 3 hours. His brother COry can do the same job in 5 hours. How long will it take them to wash all the windows if they work together

Algebra ->  Radicals -> SOLUTION: zach can wash all the windows in his house in 3 hours. His brother COry can do the same job in 5 hours. How long will it take them to wash all the windows if they work together      Log On


   

Question 609311: zach can wash all the windows in his house in 3 hours. His brother COry can do the same job in 5 hours. How long will it take them to wash all the windows if they work together
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
zach can wash all the windows in his house in 3 hours.
His brother COry can do the same job in 5 hours.
How long will it take them to wash all the windows if they work together
:
Let t = time required, working together
Let the completed job = 1, (clean windows)
:
A typical shared work equation, each will do a fraction of the job, the two fractions add up 1
:
t%2F3 + t%2F5 = 1
multiply by 15 to clear the denominators
5t + 3t = 15
8t = 15
t = 15/8
t = 1.875 hrs working together
;