Jameer paints one wall of a house in 3 days. june paints two walls of a house in 5 days. if the two of them work together to paint a whole house that has 10 walls, how long will they take? (we assume that each wall takes the same amount of time to paint for any fixed individual.)

Let the number of days be x.

Jameer paints 1 wall in 3 days. In 1 day, he paints 1/3 of a wall. In x days, he paints (1/3) x walls.

June paints 2 walls in 5 days. In 1 day, she paints 2/5 of a wall. In x days, she paints (2/5) x walls.

Working together, in x days they paint (1/3) x + (2/5) x walls.

We want to know the number of days they will take to paint 10 walls, so we let the expression equal 10.

(1/3) x + (2/5) x = 10

(5/15) x + (6/15) x = 10

(11/15) x = 10

x = 10 * 15/11

x = 150/11

It will take 150/11 days which is the same as 13.6363 ... days or approximately 13.6 days.