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?
<pre>Let time experienced worker takes be T
Then time new worker takes = 2T
Then the former and latter can do: {{{matrix(1,6, 1/T, and, 1/(2T), of, "job,", respectively)}}} in 1 hour
We then get: {{{matrix(1,3, 1/T + 1/(2T), "=", 1/14)}}}
14 + 7 = T ------- Multiplying by LCD, 14T
T, or time taken by the experienced worker to do job, alone = {{{highlight_green(matrix(1,2, 21, hours))}}}