Bricklayers

When a bricklayer works himself to redeem the house in 8 days, the other bricklayer will be finished in 10 days. How long will it take to make 3 such houses together?

Correct result:

x =  13.3333 d

Solution:

$$\begin{gathered} x_1={\displaystyle \frac{1}{{\displaystyle \frac{1}{8}}+{\displaystyle \frac{1}{10}}}}={\displaystyle \frac{40}{9}}\doteq 4.4444\text{ d } \\ x=3\cdot x_1=3\cdot 4.4444={\displaystyle \frac{40}{3}}=13.3333\text{ d} \end{gathered}$$

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