SOLUTION: An experienced employee can enter tax data into a computer two times as fast as a new employee. Working together, it takes the employees 14 hours. How long would it take the experi

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Question 1143256: An experienced employee can enter tax data into a computer two times as fast as a new employee. Working together, it takes the employees 14 hours. How long would it take the experienced employee working alone?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
1%2Fx, experienced rate
1%2F%282x%29, new employee rate

1%2Fx%2B1%2F%282x%29=1%2F14
-
2%2F%282x%29%2B1%2F%282x%29=1%2F14

3%2F%282x%29=1%2F14

%282%2F3%29x=14

x=%283%2F2%2914

highlight%28x=21%29

Answer by MathTherapy(10553) About Me  (Show Source):
You can put this solution on YOUR website!

An experienced employee can enter tax data into a computer two times as fast as a new employee. Working together, it takes the employees 14 hours. How long would it take the experienced employee working alone?
Let time experienced worker takes be T

Then time new worker takes = 2T

Then the former and latter can do: matrix%281%2C6%2C+1%2FT%2C+and%2C+1%2F%282T%29%2C+of%2C+%22job%2C%22%2C+respectively%29 in 1 hour

We then get: matrix%281%2C3%2C+1%2FT+%2B+1%2F%282T%29%2C+%22=%22%2C+1%2F14%29

14 + 7 = T ------- Multiplying by LCD, 14T

T, or time taken by the experienced worker to do job, alone = highlight_green%28matrix%281%2C2%2C+21%2C+hours%29%29