Question

If Fran were to paint her living room alone, it would take 6 hours. Her sister Denise

Answer 1

Answer:

It will take Fran and Denise $3\frac{3}{7}$ hours to paint the living room.

Step-by-step explanation:

Given that:

Time taken by Fran to paint living house = 6 hours

Time taken by Denise = 8 hours

Let,

x be the time taken by both of them.

$\frac{1}{Fran's\ share}+\frac{1}{Denise's\ share}=\frac{1}{x}\\\\\frac{1}{6}+\frac{1}{8}=\frac{1}{x}\\\\\frac{4+3}{24}=\frac{1}{x}\\\\\frac{7}{24}=\frac{1}{x}\\\\x = \frac{24}{7}$

$x = 3\frac{3}{7}$ hours

Hence,

It will take Fran and Denise $3\frac{3}{7}$ hours to paint the living room.