SOLUTION: a painter can paint a house in 6 hours her assistant takes 8 hours to do the same job. how long will it take them to complete the job working together?

Question 928399: a painter can paint a house in 6 hours her assistant takes 8 hours to do the same job. how long will it take them to complete the job working together?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
rate = r = w/t
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together:
r = 1/6 + 1/8
r = 8/6*8 + 6/6*8
r = 14/6*8
time = 1/r
time = 6*8/14
time = 3.43 hours
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