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.