1. Work Word Problems Pencils Down Please:
Leo can paint a room in 3 hours. Mike can paint the same room in 6 hours. How many hours will it take them to paint the room together?

2. Let’s take a closer look
If Leo can paint the room in 3
hours, then how many rooms can he
paint in 1 hour?
And if Mike can paint the room in 6 hours, then how much can he paint in 1 hour?
Therefore, if they work together, how much can they paint in one hour? +

3. What does this mean? +
How much of the room gets painted in one hour when they work together?
At this rate, how long will it take them to paint the room?

4. Example 1
Think of the problem in terms of hourly units…
Leo can paint a room in 3 hours. Mike can paint the same room in 6 hours. How many hours will it take them to paint the room together? + =

5. 18t ● 6 3 1 1 1 t # 6 3 9t

6. You Try. Mr. Clark can mow the lawn in 20 minutes. Mr
You Try. Mr. Clark can mow the lawn in 20 minutes. Mr. Hunt can mow the same lawn in 5 minutes. How long will it take them to mow the lawn together?
20t ● 1 4 1 1 1 t # 1 4 5t

7. You Try. One pipe can fill a tank in 20 minutes, while another one takes 30 minutes to fill the same tank. How long would it take the two pipes to fill the tank together?
60t ● 3 2 1 1 1 t # 3 2 5t