Painters

One painter could paint a school for 7 days. The second one for 6 days. It was necessary to paint the school in two days. Next painter was invited and all worked together. How long would this painter painted the school itself?

Correct result:

x =  5.25 d

Solution:

$2(\dfrac17+\dfrac16+\dfrac1x) = 1 \ \\ x = \dfrac{1}{\dfrac12-\dfrac17-\dfrac16} = 5.25 \ \text{d}$

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