SOLUTION: A certain screw machine can produce a box of parts in 3.3h . A new machine is to be ordered having a speed such that both machines working together would produce a box of parts in

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Question 1055671: A certain screw machine can produce a box of parts in 3.3h . A new machine is to be ordered having a speed such that both machines working together would produce a box of parts in 1.4h . How long would it take the new machine alone to produce a box of parts?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate*Time=Output
For the first machine,
R%5B1%5D%2A3.3=1
R%5B1%5D=1%2F3.3
For the machines together,
%28R%5B1%5D%2BR%5B2%5D%29%2A1.4=1
Substituting,
%281%2F3.3%2BR%5B2%5D%29%2A1.4=1
1%2F3.3%2BR%5B2%5D=1%2F1.4
R%5B2%5D=1%2F1.4-1%2F3.3
R%5B2%5D=10%2F14-10%2F33
R%5B2%5D=%2810%2F14%29%2833%2F33%29-%2810%2F33%29%2814%2F14%29
R%5B2%5D=%28330-140%29%2F%2833%2A14%29
R%5B2%5D=190%2F462
R%5B2%5D=95%2F231
So then,
R%5B2%5D%2At=1
t=1%2FR%5B2%5D
t=231%2F95hr