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

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) (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?
-------
B rate: 1/(2x) job/hr
A rate: 1/x job/hr
----
Together rate: 1/2 job/hr
------
Equation:
rate + rate = together rate
1/(2x) 1/x = 1/2
----
1 + 2 = x
x = 3 hrs (time for A to do the job)
2x = 6 hrs (time for B to do the job)
-------------------
Cheers,
Stan H.
===================

RELATED QUESTIONS
Machine A fills 120 bottles in every 40 seconds and Machine B fills 100 bottles in every (answered by ikleyn)

Three machines are filling water bottles. The machines can fill the daily quota of water... (answered by checkley77)

A machine caps a 1000 bottles in 10 minutes, another machine caps 1000 bottles in 8... (answered by Edwin McCravy)

Three machines are filling water bottles. The machines can fill the daily quota of water... (answered by jim_thompson5910)

Three machines are filling water bottles. The machines can fill the daily quota of water... (answered by josmiceli,ikleyn)

At the pure water bottling company one machine can produce 180 bottles in 5 hours and a... (answered by stanbon)

ONE BOTTLING MACHINE CAN FILL 400 BOTTLES OF WATER IN 1 HOUR AND ANOTHER MACHINE CAN FILL (answered by josmiceli)

A machine caps a 1000 bottles in 10 minutes, another machine caps 1000 bottles in 8... (answered by josmiceli)

A machine caps a 1000 bottles in 10 minutes, another machine caps 1000 bottles in 8... (answered by lynnlo)