SOLUTION: John and Cara, working together, can clean the house in 9 hours. Working alone, Cara takes three times as long as John. How long does it take John to clean the house alone?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: John and Cara, working together, can clean the house in 9 hours. Working alone, Cara takes three times as long as John. How long does it take John to clean the house alone?      Log On


   



Question 849260: John and Cara, working together, can clean the house in 9 hours. Working alone, Cara takes three times as long as John. How long does it take John to clean the house alone?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
9/j+9/3j=1
9/j+3/j=1
12/j=1
j=12
c=36
check
in 9 hours john does 3/4 of the job and cara does 1/4
9/12+9/36=1
3/4+1/4=1
ok