Respuesta :

Answer:

Pio and her sister can finish the dishes in 20 minutes if they work together.

Step-by-step explanation:

Given that:

Pio can wash the dishes in 1 hour or 60 minutes

Her sister can wash the dishes in half hour or 30 minutes.

Let,

x be the time it would take for both of them.

[tex]\frac{1}{Pio's share}+\frac{1}{Her\ sister\ share} = \frac{1}{x}\\\\\frac{1}{60}+\frac{1}{30} = \frac{1}{x}\\\\\frac{1+2}{60}=\frac{1}{x}\\\\\frac{3}{60} = \frac{1}{x} \\\\\frac{1}{20}=\frac{1}{x} \\\\x=20[/tex]

Hence,

Pio and her sister can finish the dishes in 20 minutes if they work together.

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