Working alone at a constant rate, Machine A produces k liters of a chemical in 10 minutes. Working alone at its constant rate, machine B produces k liters of the chemical in 15 minutes. How many minutes does it take machine A and B, working simultaneously....
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Machine A = k/10 liters
Machine B = k/15 liters
Both Machine working simultaneously = k/10 + k/15
Both Machine working simultaneously = (15k+10k)/150
Both Machine working simultaneously = 25k/150
Both Machine working simultaneously = k/6 litres/minutes
To get the minutes used to produce K
Minutes used to produce K by both machine = units produced/time
Both Machine working simultaneously = k/ k/6
Both Machine working simultaneously = k * 6/k
Both Machine working simultaneously = 6 minutes
Answer: 6