SOLUTION: Nancy and Angelica share in cleaning the house as a part of their training at home. Working alone, Nancy can clean the house in 4 hrs. Working together, it will take them 2 hrs. an

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Nancy and Angelica share in cleaning the house as a part of their training at home. Working alone, Nancy can clean the house in 4 hrs. Working together, it will take them 2 hrs. an      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 375973: Nancy and Angelica share in cleaning the house as a part of their training at home. Working alone, Nancy can clean the house in 4 hrs. Working together, it will take them 2 hrs. and 40 min. How long will it take Angelica to do the job working alone?

Show complete solution pls...
Answer by bostonmathtutor(8) About Me  (Show Source):
You can put this solution on YOUR website!

(1/4) + (1/X) = (1/2.6666) = 3/8
Then, solve:
2X/8X + 8/8X = 3X/8X
(2X+8)/8X = 3X/8X
2X+8 = 3X
8 = X
X = 8 hours