SOLUTION: An experienced accountant can balance the books twice as fast as a new accountant. Working together it takes the accountants 6 hours. How long would it take the experienced account

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Question 885806: An experienced accountant can balance the books twice as fast as a new accountant. Working together it takes the accountants 6 hours. How long would it take the experienced accountant working alone?
A) 15 hr
B) 12 hr
C) 9 hr
D) 3 hr
Found 2 solutions by jim_thompson5910, lwsshak3:
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
1/x + 1/(2x) = 1/6

2/(2x) + 1/(2x) = 1/6

(2+1)/(2x) = 1/6

3/(2x) = 1/6

3*6 = 2x*1

18 = 2x

2x = 18

x = 18/2

x = 9

It takes the experienced accountant 9 hours to do the job alone.

Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website!
An experienced accountant can balance the books twice as fast as a new accountant. Working together it takes the accountants 6 hours. How long would it take the experienced accountant working alone?
***
let x=time new accountant can balance the books working alone
1/x=his work rate
2x=time experienced accountant can balance the books working alone
1/2x=his work rate
6=time both accountants working together to balance the books
1/6=their work rate
sum of indv. work rates=work rate working together
..

lcd:=2x
2+1=2x/6=x/3
x=9
time experienced accountant can balance the books working alone=9 hrs (ans C)