Question 246480

Let x=amount of time it takes if both are working together
Then together they paint at the rate of 1/x room per hour

Ethan paints at the rate of 1/11 room per hour
Victoria paints at the rate of 1/12 room per hour
Together, they paint at the rate of 1/11 + 1/12 room per hour
So our equation to solve is:
1/11 + 1/12=1/x  


multiply each term by 132x
12x+11x=132
23x=132  divide each side by 23
x= 132/23 or 5.739 hours

CK
Ethan in 5.739 hours paints (1/11)*(132/23)= 12/23 of the room
Victoria in 5.739 hours paints (1/12)*(132/23)=11/23 of the room
12/23 + 11/23=23/23 or 1 room


Hope this helps---ptaylor