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It takes 3 painters 4 hours to paint 1 classroom. How many hoursdoes it take 1 painter to paint 2 classrooms of the same size as the first one? Assume all painters work at the same rate for the full time.

 Feb 10, 2019
 #1
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\(\text{each painter works at the rate of }\\ r=\dfrac{1}{3\cdot 4} = \dfrac{1}{12} ~\dfrac{room}{hr}\\ \dfrac{2~ room}{r} = 24 ~hrs\)

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 Feb 10, 2019
 #2
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Well, it takes 1 painter \(4\times 3=12\) hours to paint a classroom, so just multiply by 2 and get your answer of 24 hours.

 

You are very welcome!

:P

 Feb 10, 2019

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