SOLUTION: An experienced bank auditor can check a bank's deposits twice as fast as a new auditor. Working together it takes the auditors 4 hours to do the job. How long would it take the exp

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Question 467731: An experienced bank auditor can check a bank's deposits twice as fast as a new auditor. Working together it takes the auditors 4 hours to do the job. How long would it take the experienced auditor working alone?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
An experienced bank auditor can check a bank's deposits twice as fast as a new auditor.
Working together it takes the auditors 4 hours to do the job.
How long would it take the experienced auditor working alone?
:
Let t = time required by the experience auditor working alone
It says,"experienced bank auditor can check a bank's deposits twice as fast as a new auditor." therefore
2t = time required by the new auditor
:
Let the completed job = 1
:
A typical shared work equation
:
4%2Ft + 4%2F%282t%29 = 1
multiply by 2t, results
2(4) + 4 = 2t
8 + 4 = 2t
12 = 2t
t = 12%2F2
t = 6 hrs Experienced guy alone
;
:
Check the solution
4%2F6 + 4%2F12 =
2%2F3 + 1%2F3 = 1; confirms our solution of t = 6