Edie can paint a wall in 3 hours. Dan can paint the same wall in 6 hours. If they work together, how many hours will it take Edie and Dan to paint the wall?

(1 point)
Responses

1 hour
1 hour

1.5 hours
1.5 hours

2 hours
2 hours

4.5 hours

1 answer

2 hours.

To solve for this, you can add their rates together to get their combined rate:

Edie's rate: 1 wall / 3 hours = 1/3 wall per hour
Dan's rate: 1 wall / 6 hours = 1/6 wall per hour

Combined rate: 1/3 + 1/6 = 1/2 wall per hour

Then, you can find out how many hours it will take for them to paint one wall together:

1 wall / (1/2 wall per hour) = 2 hours

Therefore, it will take Edie and Dan 2 hours to paint the wall together.