SOLUTION: Gregory painted 1/3 of a room in 3/4 hour. At this rate what fraction of the roomcan gregory pai.t in 1 hour?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Gregory painted 1/3 of a room in 3/4 hour. At this rate what fraction of the roomcan gregory pai.t in 1 hour?      Log On


   

Question 826624: Gregory painted 1/3 of a room in 3/4 hour. At this rate what fraction of the roomcan gregory pai.t in 1 hour?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Gregory painted 1/3 of a room in 3/4 hour.
At this rate what fraction of the room can Gregory paint in 1 hour?
:
let x = fraction of the room painted in 1 hr
:
x%2F%281%2F3%29 = 1%2F%283%2F4%29
Cross multiply
3%2F4x = 1%2F3
multiply eq, by 12, cancel the denominators and you have:
3(3x) = 4
9x = 4
x = 4%2F9 of the room in 1 hr