SOLUTION: Aaron can paint a room in 45 minutes. Caroline can paint a room in 60 minutes. If they worked together, how long will it take them to finish painting 6 rooms together?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Aaron can paint a room in 45 minutes. Caroline can paint a room in 60 minutes. If they worked together, how long will it take them to finish painting 6 rooms together?      Log On


   



Question 1011778: Aaron can paint a room in 45 minutes. Caroline can paint a room in 60 minutes. If they worked together, how long will it take them to finish painting 6 rooms together?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Aaron can paint a room in 45 minutes.
Caroline can paint a room in 60 minutes.
If they worked together, how long will it take them to finish painting 6 rooms together?
:
Let t = time required when working together
let the completion of 1 room = 1
:
t%2F45 + t%2F60 = 6
Multiply equation by 180
180*t%2F45 + 180*t%2F60 = 180*6
cancel the denominators
4t + 3t = 1080
t = 1080/7
t = 154.3 min or about 2 hrs 34.3 min