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? 
:
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/t}}} + {{{4/(2t)}}} = 1
multiply by 2t, results
2(4) + 4 = 2t
8 + 4 = 2t
12 = 2t
t = {{{12/2}}}
t = 6 hrs Experienced guy alone
;
:
Check the solution
{{{4/6}}} + {{{4/12}}} =
{{{2/3}}} + {{{1/3}}} = 1; confirms our solution of t = 6