Question

Camilla and Anne work as interior decorators in the city. Camilla can decorate a home in 5 days while Anne can

Answer 1

Answer:

It will take them 4.44 days to decorate 2 homes.

Step-by-step explanation:

Given that:

Camilla can decorate a home in 5 days

Anne can complete a home in 4 days

Let,

x be the time taken by Camilla and Anne to decorate 1 home.

$\frac{1}{Camilla's time}+\frac{1}{Anne's\ time} = \frac{1}{total\ time}$

$\frac{1}{5}+\frac{1}{4}=\frac{1}{x}$

Taking LCM;

$\frac{4+5}{20}=\frac{1}{x}\\\\\frac{9}{20}=\frac{1}{x}\\x=\frac{20}{9}$

Time taken by Camilla and Anne to decorate 2 homes = $\frac{20}{9}*2=\frac{40}{9}$

Time taken to decorate Camilla and Anne 2 homes = 4.44 days

Hence,

It will take them 4.44 days to decorate 2 homes.