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an experienced painter can paint a house in 6hrs while it takes an apprentice painter 9hrs to paint the same size house, how long would it take for 2 of them

together to paint a similar house?

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Betsy S. | Mathematics TutorMathematics Tutor
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Hi Tanisha,
 
This one took me some time to figure out the best way to complete.
 
First think about the rate it takes each of them to work in what fraction of a house they can complete in an hour.
profession: 1/6 houses/hr 
apprentice: 1/9 houses/hr
 
Next, since they will be working together combine their painting speed:
(1/6)+(1/9) = 5/18
 
That means working together they can complete 5 houses in 18 hours.
 
So 1 house can be done in 18/5 or 3.6hrs.
 
Note: Since time doesn't uses decimals 0.6hrs is the equivalent of 36 minutes, so the answer can be written as 3 hours and 36 minutes.
 
I hope this is understandable, let me know if you need more help.

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