The problem reads, If Art and Rita can do a job in four 4 hours when workin gtogether at their respective constant rates and Art can do the job alone in 6 hours, in how many hours can Rita do the job alone?
The problem is set up like this:
1/6 +1/R = 1/4
(R+6)/(6R) = 1/4
4R + 24 = 6R
R = 12
I totally understand how the problem is setup, but do not understand where the (R+6)/(6R) comes from? Then, I am totally in the dark as to how (R+6)/(6R) = 1/4 could work out to 4R + 24 = 6R!
Any, and I do mean ANY, help on this one would be great. I feel retarded because this one is so simple I do not know why I cannot figure it out.