SOLUTION: In a factory two different machines , A and B are used to fill bottles. When machines work together they fill two bottles in 2 hours. Machine A works twice as fast as machine B how

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Question 712409: In a factory two different machines , A and B are used to fill bottles. When machines work together they fill two bottles in 2 hours. Machine A works twice as fast as machine B how long does it take machine B to fill all the bottles when it works alone?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
In a factory two different machines , A and B are used to fill bottles. When machines work together they fill two bottles in 2 hours. Machine A works twice as fast as machine B how long does it take machine B to fill all the bottles when it works alone?
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B rate: 1/(2x) job/hr
A rate: 1/x job/hr
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Together rate: 1/2 job/hr
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Equation:
rate + rate = together rate
1/(2x) 1/x = 1/2
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1 + 2 = x
x = 3 hrs (time for A to do the job)
2x = 6 hrs (time for B to do the job)
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Cheers,
Stan H.
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