SOLUTION: AN EXPEREINCED BANK AUDITOR CAN CHECK A BANK'S DEPOSIT TWICE AS FAST AS A NEW AUDITOR. WORKING TOGETHER IT TAKES THE AUDITORS 20 HOURS TO DO THE JOB. HOW LONG WOULD IT TAKE THE EXP

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: AN EXPEREINCED BANK AUDITOR CAN CHECK A BANK'S DEPOSIT TWICE AS FAST AS A NEW AUDITOR. WORKING TOGETHER IT TAKES THE AUDITORS 20 HOURS TO DO THE JOB. HOW LONG WOULD IT TAKE THE EXP      Log On

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Question 279991: AN EXPEREINCED BANK AUDITOR CAN CHECK A BANK'S DEPOSIT TWICE AS FAST AS A NEW AUDITOR. WORKING TOGETHER IT TAKES THE AUDITORS 20 HOURS TO DO THE JOB. HOW LONG WOULD IT TAKE THE EXPERIENCED AUDITIOR WORKING ALONE?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
1/x+1/2x=1/20
(2x+x)/2x*x=1/20
3x/2x^2=1/20 cross multiply.
2x^2=3x*20
2x^2=60x cancel out one of the xs.
2x=60
x=30 hours for the experienced auditor.
Proof:
1/30+1/2*30=1/20
1/30+1/60=1/20
(60+30)/30*80)=1/20
90/1,800=1/20
1,800=90*20
1,800=1,800