SOLUTION: Person A can paint the neighbor's house 2 times as fast as Person B. The year A and B worked together, it took them 5 days. How long would it take each to paint the house?

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Person A can paint the neighbor's house 2 times as fast as Person B. The year A and B worked together, it took them 5 days. How long would it take each to paint the house?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 978515: Person A can paint the neighbor's house 2 times as fast as Person B. The year A and B worked together, it took them 5 days. How long would it take each to paint the house?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
1/a+1/b=1/x
a=b*0.5
1/b*0.5+1/b=1/5
1/b*0.5+0.5/0.5*b=1/5
1.5/b*0.5=1/5
0.5*b=7.5
b=15.0
a=15*0.5
a=7.5 b=15
check
1/a+1/b=1/x
1/7.5+1/15=1/5
0.13333333+0.66666667e-1=1/5
0.2=1/5
0.2=0.2
x=5 hours working together
a=7.5 hours working alone
b=15 hours working alone
ok
codewtr