It will take 8 hours to paint a room. how long will it take to paint 2/3 of the room?

5 hours and 20 minutes.

Step-by-step explanation:

Let be "x" the time in hours that will take to paint of the room.

You know that 8 hours is the time it takes to paint the room.

With this information you can set up the following proportion:

Finally, you must solve for the variable "x" in order to find its value.

You get that this is:

Since:

You can determine that:

Then, the answer is: 5 hours and 20 minutes.