SOLUTION: It takes two people 11 hours to complete a task. one person is three hours faster how long does it take for them to complete task seperatly

Algebra ->  Rate-of-work-word-problems -> SOLUTION: It takes two people 11 hours to complete a task. one person is three hours faster how long does it take for them to complete task seperatly      Log On


   

Question 618090: It takes two people 11 hours to complete a task. one person is three hours faster how long does it take for them to complete task seperatly
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
(11 / x) + [11 / (x + 3)] = 1

11(x + 3) + 11(x) = x(x + 3)

22x + 33 = x^2 + 3x

0 = x^2 - 19x - 33

use quadratic formula to find x, then x+3