SOLUTION: One copy machine copies twice as fast as another. If both copiers work together, they can finish a particular job in two hours. How long would it take the slower copier to complete

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Question 420854: One copy machine copies twice as fast as another. If both copiers work together, they can finish a particular job in two hours. How long would it take the slower copier to complete the job working alone?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
One copy machine copies twice as fast as another.
If both copiers work together, they can finish a particular job in two hours.
How long would it take the slower copier to complete the job working alone?
:
Let t = time for the slower machine to do the job
then
.5t = time required by the faster machine
:
Let the completed job = 1
:
A typical shared work equation
2%2F%28.5t%29 + 2%2Ft = 1
multiply thru by .5t, results:
2 + .5(2) = .5t
3 = .5t
t = 6 hrs the slow one alone
:
:
See if that is true
2%2F3 + 2%2F6 = 1