Final answer:
It will take 8 hours for three painters to paint the same room.
Step-by-step explanation:
To determine how long it will take three painters to paint the same room, we can use the concept of man-hours. If four painters can paint a room in 6 hours, then they will take a total of 4 x 6 = 24 man-hours to complete the job. Since there are three painters now, we divide the total man-hours by the number of painters. So, it will take 24 / 3 = 8 hours for three painters to paint the same room.