# 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?

Result

x =  13.333 d

#### Solution:

$x_{ 1 } = \dfrac{ 1 }{ \dfrac{ 1 }{ 8 } + \dfrac{ 1 }{ 10 } } = \dfrac{ 40 }{ 9 } \doteq 4.4444 \ d \ \\ \ \\ x = 3 \cdot \ x_{ 1 } = 3 \cdot \ 4.4444 = \dfrac{ 40 }{ 3 } \doteq 13.3333 = 13.333 \ \text{ d }$

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