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

1 Answer

3 votes

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.

User Azrael
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