SOLUTION: Alexis can clean a gym in 5 hours. Isiah can clean a gym in 6 hours, and ray can do it in 10 hours. They plan to work together to get the job done quickly but Alexis and isiah show

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Question 581139: Alexis can clean a gym in 5 hours. Isiah can clean a gym in 6 hours, and ray can do it in 10 hours. They plan to work together to get the job done quickly but Alexis and isiah show up a hour late. Is ray worked for a hour how much longer will it take them to clean the gym if they work together?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Alexis can clean a gym in 5 hours. Isiah can clean a gym in 6 hours, and ray can do it in 10 hours.
They plan to work together to get the job done quickly but Alexis and Isiah show up a hour late.
If ray worked for a hour how much longer will it take them to clean the gym if they work together?
:
Let t = time required after A & I show up
Let the completed job = 1 (a clean gym)
:
%28%28t%2B1%29%29%2F10 + t%2F5 + t%2F6 = 1
multiply by 30 to get rid of the denominators, results:
3(t+1) + 6t + 5t = 30
3t + 3 + 6t + 5t = 30
14t = 30 - 3
14t = 27
t = 27/14
t = 1.93 hrs after A & I show up