SOLUTION: It takes Louis 3 hours to paint a room by himself. If Anthony helps it takes them 2 hours. How long would it take Anthony to paint the room himself?

Question 392445: It takes Louis 3 hours to paint a room by himself. If Anthony helps it takes them 2 hours. How long would it take Anthony to paint the room himself?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
It takes Louis 3 hours to paint a room by himself. If Anthony helps it takes them 2 hours. How long would it take Anthony to paint the room himself?
let x = hours it would take for anthony to paint the room by himself
then, his hourly rate =1/x
Louis takes 3 hours to do the job himself, so, his hourly rate =1/3
When working together they would take 2 hours to finish the job, so, their hourly rate would be = 1/2
1/3+1/x=1/2
1/x=1/2-1/3=1/6
x=6
ans: It would take anthony 6 hours to paint the room by himself
RELATED QUESTIONS
Kiyoshi can paint a certain fence in 3 hours by himself. If Red helps, the job takes... (answered by josgarithmetic)

Marie can paint a room in 9 hours. If Ana helps, it takes them 7 hours. Without help, how (answered by Boreal)

It take Ryan 8 hours to build a bird house, it takes Anthony 6 hours. How long would it... (answered by solver91311)

It takes 5 hours for Anthony to fix a drain pipe. If his assistant helps him, it takes 3... (answered by Edwin McCravy)

John can paint a room in 10 hours by himself. If kelly helps, they can paint the same... (answered by TimothyLamb)

Anthony can type twice as fast as Cindy. Together, they can type a certain job in 2... (answered by richwmiller)

If i takes painter a 7 hours to paint a room and painter a & painter b 5 hours to paint... (answered by Boreal)

Marge can paint her house in 12 hours. If John helps her it takes them 9 hours. How long... (answered by checkley71)

Mark and Luke can paint a room together in 4 hours if it takes mark 9 hours to paint by... (answered by ikleyn,greenestamps)