SOLUTION: Ellen can finish a plate in 6hours, alyssa can do the same job in 9hours. how long will it take the two ladies to do the job if they will work together?

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Question 908170: Ellen can finish a plate in 6hours, alyssa can do the same job in 9hours. how long will it take the two ladies to do the job if they will work together?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
1/a+1/b=1/x
1/6+1/9=1/x
9/54+6/54=1/x
15/54=1/x
x=54/15
x=3.6 hours working together
check
x/a+x/b=1
x/6+x/9=1
3.6/6+3.6/9=1
0.6+0.4=1
1.0=1
ok