Using the together rate, it is found that it would take each person working individually 27 and 29 hours to paint the house.
The together rate is the sum of each separate rate.
In this problem, we have that the rates are given as follows:
Hence:
[tex]\frac{1}{d} + \frac{1}{d - 2} = \frac{1}{14}[/tex]
[tex]\frac{d - 2 + d}{d(d - 2)} = \frac{1}{14}[/tex]
d² - 2d = 28d - 28.
d² - 30d + 28 = 0
(d - 29)(d - 0.96) = 0.
Both d and d - 2 have to be positive, hence the solution is d = 29, and it would take each person working individually 27 and 29 hours to paint the house.
More can be learned about the together rate at https://brainly.com/question/25159431
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