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

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) (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

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