SOLUTION: A printing company purchased a new copier that is twice as fast as the old copier. With both copiers working at the same time, it takes 10 hours to do a job. How long would it take

Question 407642: A printing company purchased a new copier that is twice as fast as the old copier. With both copiers working at the same time, it takes 10 hours to do a job. How long would it take the new copier working alone
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A printing company purchased a new copier that is twice as fast as the old copier.
With both copiers working at the same time, it takes 10 hours to do a job.
How long would it take the new copier working alone
:
Let t = time required by the new copier working alone
then
2t = time required by the old copier alone
:
Let the completed job = 1
:
A typical shared work equation:
:
+ = 1
Multiply by 2t, results
2(10) + 10 = 2t
30 = 2t
t =
t = 15 hrs the new copier working alone
:
:
:
Check this:
10/15 + 10/30 =
2/3 + 1/3 = 1; confirms our solution of t = 15
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