SOLUTION: Need assistance in creating an equation to solve the following problem. An experienced accountant can balance the books twice as fast as a new accountant. Working together it ta

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Need assistance in creating an equation to solve the following problem. An experienced accountant can balance the books twice as fast as a new accountant. Working together it ta      Log On


   



Question 326944: Need assistance in creating an equation to solve the following problem.
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 scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
"An experienced accountant can balance the books twice as fast as a new accountant." ___ n = 2e

"Working together it takes the accountants 10 hours" ___ (10/n) + (10/e) = 1
___ they each do a FRACTION of the task, based on their individual times
___ the fractions sum to one (the WHOLE task)

substituting ___ [10/(2e)] + (10/e) = 1