We want to find the rate at which Aaron and Ana work together, we will find that when working together they can paint 1 door in 2 hours.
Working with rates:
We know that Aaron can paint a door in 6 hours and Ana can paint the same door in 3 hours. The rates are just defined as the number of doors painted over time, so we get:
- Aaron's rate = (1 door/ 6h)
- Ana's rate = (1 door/ 3h)
When they work together the rates just add up, so we get:
R = (1 door/ 6h) + (1 door/ 3h) = (1 door/ 6h) + (2 door/ 6h)
= (3 doors/6 hours) = (1 door/ 2 hours)
This means that, working together, they can paint 1 door in 2 hours.
If you want to learn more about rates, you can read:
https://brainly.com/question/14305692
