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 Posted: Thu Dec 15, 2011 9:45 am

Joined: Sat May 28, 2011 2:26 pm
Posts: 10
Hello All

Can anyone out there suggest an easy method for the following question please ?

It takes 2 decorators 8 days to paint a house. One is lazy and one is energetic. The energetic one could paint the house in 12 days on his own. How many days would it take the lazy one to paint the house on his own ?

My answer is 24 days - but that was doing it using algebra.

If anyone could suggest a simpler way, it would much appreciated.

Many thanks

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 Posted: Thu Dec 15, 2011 10:03 am

Joined: Fri Sep 15, 2006 8:51 am
Posts: 8330
teacher_mum wrote:
Hello All

Can anyone out there suggest an easy method for the following question please ?

It takes 2 decorators 8 days to paint a house. One is lazy and one is energetic. The energetic one could paint the house in 12 days on his own. How many days would it take the lazy one to paint the house on his own ?

My answer is 24 days - but that was doing it using algebra.

If anyone could suggest a simpler way, it would much appreciated.

Many thanks

I am no teacher or mathematician - suppose my answer is a bit algebraic but more of a "talk through"

Painter A (the energetic one) can paint 1/12 of a house in one day.
So in 8 days he paints 8/12 or 2/3 or the house.
Meaning jolly painter B has painted 1/3 in 8 days... (maybe he makes the tea?)
so painter B would take 8 times 3 or 24 days to do the lot..

................by which time you would be fed up with him and he have gone off to help his mate on an urgent job half way through....

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 Posted: Thu Dec 15, 2011 8:13 pm

Joined: Sat May 28, 2011 2:26 pm
Posts: 10
Hello

Thank you very much for your method - I like the your "cup of tea" method compared to my way of let's make it x

thanks again

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