an electrician can wire a house in 12 hours. her assistant takes 18 hours to wire the same house. how long would it take them to wire the house together

Respuesta :

Solution

The electrician can wire 1/12 of a house per hour.

an apprentice can do 1/18 of a house per hour.

=>x/12 + x/18 = 1

[tex]\begin{gathered} \Rightarrow\frac{x}{12}+\frac{x}{18}=1 \\ \\ \Rightarrow\frac{5x}{36}=1 \\ \\ \Rightarrow x=\frac{36}{5}\text{ hours} \end{gathered}[/tex]

Therefore, it will take 36/5 hours to wire the house together.