30.8k views
5 votes
Sally can paint a room in 4 hours while it takes Steve 3 hours to paint the same room. How long would it take them to paint the room if they worked together?

User Reeggiie
by
5.8k points

2 Answers

4 votes
The answer should be 3.5 hours
User Spacemonkey
by
5.9k points
0 votes
1/4hr + 1/3hr = 1/x

You multiply each term by 12x so all the denominators = 1 .

4x + 3x = 12
7x = 12
x = 1.71

Therefore, it will take 7/12 hours ( approx. 1.71 hours) to paint the entire room together.
User Lana
by
4.1k points