Question

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

Answer 1

Answer: 5 hours and 20 minutes.

Explanation:

Let be "x" the time in hours that will take to paint
`(2)/(3)` 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:

`(8)/(1)=(x)/((2)/(3))`

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

You get that this is:

`(8)/(1)=(x)/((2)/(3))\\\\(8)/(1)=(3x)/(2)\\\\(2)(8)=3x\\\\x=(16)/(3)\\\\x=5.33`

Since:

`1\ hr=60\ min`

You can determine that:

`(0.33 hr)((60\ min)/(1\ hr))=20\ min`

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