SOLUTION: How long would your friend take to paint a room if you & a friend can paint a room together in 6hrs. Alone your friend would take 3times as long as you to paint the room.

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Question 537526: How long would your friend take to paint a room if you & a friend can paint a room together in 6hrs. Alone your friend would take 3times as long as you to paint the room.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
How long would your friend take to paint a room if you & a friend can paint a room together in 6hrs.
Alone your friend would take 3 times as long as you to paint the room.
:
Let t = time for you to paint the room
then
3t = friend's time to do the job
:
Let the completed job = 1 (a painted room)
:
A shared work equation
6%2Ft + 6%2F%283t%29 = 1
multiply by 3t to clear the denominators, results
3(6) + 6 = 3t
18 + 6 = 3t
t = 24%2F3
t = 8 hrs for you to paint the room
:
:
Check:
6/8 + 6/24 =
3/4 + 1/4 = 1
:
You did 3/4 of the work, your friend did 1/4