SOLUTION: If Gloria were to paint her living room alone, it would take 6 hours. Her sister Sarah could do the job in 7 hours. How long would it take them working together? If needed, submi

Algebra ->  Rate-of-work-word-problems -> SOLUTION: If Gloria were to paint her living room alone, it would take 6 hours. Her sister Sarah could do the job in 7 hours. How long would it take them working together? If needed, submi      Log On


   



Question 1075652: If Gloria were to paint her living room alone, it would take 6
hours. Her sister Sarah could do the job in 7
hours. How long would it take them working together? If needed, submit your answer as a fraction reduced to lowest terms.

Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Same problem, different numbers.
==============================================================
If Colleen were to paint her living room alone, it would take 4
hours. Her sister Evelyn could do the job in 7
hours. How long would it take them working together?
----------
Colleen paints 1/4 of the LR per hour.
Evelyn paints 1/7 of the LR per hour.
---
Together, they paint 1/4 + 1/7 per hour.
Can you do the rest?

Answer by ikleyn(52835) About Me  (Show Source):
You can put this solution on YOUR website!
.
There is a special lesson in this site which explains in details how to solve word problems on joint work:
    - Using Fractions to solve word problems on joint work,


Read it and get be trained in solving joint-work problems.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook under the topic "Rate of work and joint work problems" of the section "Word problems".