SOLUTION: Marie can paint a room in 9 hours. If Ana helps, it takes them 7 hours. Without help, how long would it take Ana to complete this job?

Question 1172336: Marie can paint a room in 9 hours. If Ana helps, it takes them 7 hours. Without help, how long would it take Ana to complete this job?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
In 7 hours Marie paints the equivalent of 7/9 of the room.
So Ana paints 2/9 the equivalent in 7 hours.
(2/9)/7=1/x
7=(2/9)*x
x=31.5 hours for Ana.
Can check (x/9)+(x/31.5)=1
31.5x+9x=283.5, multiplying by 283.5
40.5x=283.5
x=7
It will take Ana 31.5 hours alone.
RELATED QUESTIONS
sally can paint a room in 7 hours while it takes steve 9 hours how long would it take... (answered by ikleyn)

Sally can paint a room in 7 hours while it takes Steve 9 hours to paint the same room.... (answered by Boreal)

Sally can paint a room in 7 hours while it takes Steve 9 hours to paint the same room.... (answered by josgarithmetic)

Sam can wash a boat in five hours, If Mary helps, it takes them three hours. Without... (answered by solver91311)

if sally can paint a room in 6 hours while it takes steve 7 hours to paint the same room. (answered by Edwin McCravy)

Sally can paint a room in 9 hours while it takes steve 8 hours to paint the same room.... (answered by josmiceli)

sally can paint a room in 3 hours while it takes steve 9 hours to paint the same room.... (answered by stanbon)

sally can paint a room in 3 hours while it takes steve 9 hours to paint the same room.... (answered by mananth)

sally can paint a room in 4 hours while it takes steve 7 hours to paint the same room.... (answered by Alan3354)