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 =  13.333 d

Solution:

x1=118+110=409≐4.4444 d  x=3⋅ x1=3⋅ 4.4444=403=13.333 dx_{1}=\dfrac{ 1 }{ \dfrac{ 1 }{ 8 } + \dfrac{ 1 }{ 10 } }=\dfrac{ 40 }{ 9 } \doteq 4.4444 \ \text{d} \ \\ \ \\ x=3 \cdot \ x_{1}=3 \cdot \ 4.4444=\dfrac{ 40 }{ 3 }=13.333 \ \text{d}

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