SOLUTION: An experienced accountant can balance the books twice as fast as a new accountant. Working together it takes the accountants 10 hours. How long would it take the experienced accoun

Algebra ->  Equations -> SOLUTION: An experienced accountant can balance the books twice as fast as a new accountant. Working together it takes the accountants 10 hours. How long would it take the experienced accoun      Log On


   

Question 148661: An experienced accountant can balance the books twice as fast as a new accountant. Working together it takes the accountants 10 hours. How long would it take the experienced accountant working alone?

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
X*2X/(X+2X)=10
2X^2/3X=10
2X^2=30X
2X^2-30X=0
2X(X-15)=0
X-15=0
X=15 HOURS FOR THE EXPERIENCED ACCOUNTANT.
PROOF:
15*30/(15+30)=10
450/45=10
10=10