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.
 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)
:
{{{((t+1))/10}}} + {{{t/5}}} + {{{t/6}}} = 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