Josh can split a truckload of logs in 8 hours, but working with his dad, they can get it done in 3 hours. How long would it take josh's dad working alone to split the logs?

Respuesta :

Answer: 4.8 hrs

Step-by-step explanation:

Josh: [tex]\frac{1}{8}[/tex]

Dad: [tex]\frac{1}{x}[/tex]

Together: [tex]\frac{1}{3}[/tex]

Josh + Dad = Together

[tex]\frac{1}{8}[/tex] + [tex]\frac{1}{x}[/tex] = [tex]\frac{1}{3}[/tex]

[tex]\frac{1}{8}*(24x)[/tex] + [tex]\frac{1}{x}*(24x)[/tex] = [tex]\frac{1}{3}[/tex](24x)

 3x + 24 = 8x

-3x           -3x

         24 = 5x

        ÷5     ÷5  

        4.8 = x

Answer:

4 hours 48 min

Step-by-step explanation:

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