A group of college students is volunteering for Help the Homeless during their spring break. They are putting the finishing touches on a house they built. Working alone, Irina can paint a certain room in 6 hours. Paulo can paint the same room in 9 hours. Write an equation that can be used to find how long it will take them working together to paint the room. How many hours will it take them to paint the room? If necessary, round your answer to the nearest hundredth
Let x be the number of hours it will take them to paint the room together.
Then, the equation is:
1/6 + 1/9 = 1/x
Solving the equation:
3/18 + 2/18 = 1/x
5/18 = 1/x
x = 18/5 = 3.6 hours
Therefore, it will take them 3.6 hours to paint the room together.