SOLUTION: If Violet were to paint her living room alone, it would take 5 hours. Her sister Jackie could do the job in 7 hours. How long would it take them working together?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: If Violet were to paint her living room alone, it would take 5 hours. Her sister Jackie could do the job in 7 hours. How long would it take them working together?      Log On


   



Question 901522: If Violet were to paint her living room alone, it would take 5 hours. Her sister Jackie could do the job in 7 hours. How long would it take them working together?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
a=5
b=7
1/a+1/b=1/x
1/5+1/7=1/x
7/35+5/35=1/x
12/35=1/x
35/12=x
2 11/12=x
x=2 hr 55 minutes
x=2.91666667 hours working together