Linear Equations Word Problems Worksheets with Answer Key - Free Printable

Final Answer:
2 hours

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Explanation:
Let’s think about how fast David and Sara work.

David paints the whole room in 3 hours. That means in 1 hour, he paints 1/3 of the room.

Sara paints the whole room in 6 hours. So in 1 hour, she paints 1/6 of the room.

If they work together, in 1 hour, they paint:
1/3 + 1/6 = 2/6 + 1/6 = 3/6 = 1/2 of the room.

So together, they paint half the room in 1 hour.

That means to paint the whole room, they need 2 hours.

Easy, right? They help each other, so it takes less time than either of them alone!