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# 1st Question of the Math Web2.0calc forum Questions Contest Hosted by Qwerty!

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Four people can paint a house in six hours. How many hours would it take three people to paint the same house, assuming everyone works at the same rate?

Let the first right answer win!

Aug 19, 2020
edited by qwertyuiopasdfghjkl  Aug 19, 2020

#1
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8 hours:

Let's take the LCM of 4 and 3: it's 12. So, since 12 is 3 times 4, we divide (inverse proportions) by 2. So it will take 2 hours for 12 people. Now, we see that we divide by 4 to get to 3. Therefore, we multiply by 4 and get 8.

Is that correct?

:)

Aug 19, 2020
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Congratulations! You are the winner of the 1st Math Web2.0calc forum Questions Contest Hosted by Qwerty!!!

1st: ilorty with 3 points!

Aug 19, 2020
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Yay! 😃

ilorty  Aug 19, 2020
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to paint one house   requires    4 people x 6 hours  =  24 people hours  to paint the house

if you have only three people     it will take 8 hours      (to get 24 people hours)

Aug 19, 2020
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Congrats! You are in 2nd place with 2 points of the 1st Math Web2.0calc forum Questions Contest Hosted by Qwerty!