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

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


   



Question 1074199: If Terri were to paint her living room alone, it would take 5 hours. Her sister Violet could do the job in 7 hours. How many hours would it take them working together? Express your answer as a fraction reduced to lowest terms, if needed.
Answer by josgarithmetic(39628) About Me  (Show Source):
You can put this solution on YOUR website!
Terri's rate, 1%2F5 room per hours.
Violet's rate, 1%2F7 room per hours.

Working together, their combined rate is 1%2F5%2B1%2F7
7%2F35%2B5%2F35
12%2F35, ROOMS per HOURS.

The TIME for them together to paint the one room is
35%2F12

2%2611%2F12 hours
or
2 hours 55 minutes