If Fran were to paint her living room alone, it would take 6 hours. Her sister Denise
could do the job in 8 hours. How long would it take them working together? If needed,
submit your answer as a fraction reduced to lowest terms.

[tex]\frac{1}{Fran's\ share}+\frac{1}{Denise's\ share}=\frac{1}{x}\\\\\frac{1}{6}+\frac{1}{8}=\frac{1}{x}\\\\\frac{4+3}{24}=\frac{1}{x}\\\\\frac{7}{24}=\frac{1}{x}\\\\x = \frac{24}{7}[/tex]

[tex]x = 3\frac{3}{7}[/tex] hours

Hence,

It will take Fran and Denise [tex]3\frac{3}{7}[/tex] hours to paint the living room.

If Fran were to paint her living room alone, it would take 6 hours. Her sister Denise could do the job in 8 hours. How long would it take them working together? If needed, submit your answer as a fraction reduced to lowest terms.

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If Fran were to paint her living room alone, it would take 6 hours. Her sister Denise
could do the job in 8 hours. How long would it take them working together? If needed,
submit your answer as a fraction reduced to lowest terms.