SOLUTION: machine A & B always operate independently and at their respective constant rates. when working alone, machine A can fill a production lot in 5hours, and machine B can fill the sam

Question 1015840: machine A & B always operate independently and at their respective constant rates. when working alone, machine A can fill a production lot in 5hours, and machine B can fill the same lot in X hours. When the two machines operate simultaneously to fill the production lot, it takes them 2hours to complete the job.. what is the value oF X?.
Found 2 solutions by josgarithmetic, FrankM:
Answer by josgarithmetic(39615) (Show Source): You can put this solution on YOUR website!

A 1/5 B 1/x A&B 1/2

because the rate of A and B combined is the sum of the individual rates.
Answer by FrankM(1040) (Show Source): You can put this solution on YOUR website!
Machine A fills .2 lots/hr Machine B fills 1/X lots per hour.
.2+(1/X) lots per hour total.
If together they fill .5 lots per hour, then .5-.2=.3
so 1/X = .3 or 3 1/3 hours per lot.
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