SOLUTION: Jane and James intend to paint together their house over the summer. They want to know how many days of annual leave they should take from their respective jobs. If painting of the

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Jane and James intend to paint together their house over the summer. They want to know how many days of annual leave they should take from their respective jobs. If painting of the      Log On


   



Question 715748: Jane and James intend to paint together their house over the summer. They want to know how many days of annual leave they should take from their respective jobs. If painting of the entire is done by one person only, it will take Jane 7 working days and James 4.25 working days. How long will it take them to paint the house together?
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
1/7+1/4.25=1/X
(4.25+7)/(7*4.25)=1/X
11.25/29.75=1/X CROSS MULTIPLY.
11.25X=29.75
X=29.75/11.25
X=2.64 DAYS TO COMPLETE WORKING TOGETHER.