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.
[tex]\frac{1}{Camilla's time}+\frac{1}{Anne's\ time} = \frac{1}{total\ time}\\[/tex]
[tex]\frac{1}{5}+\frac{1}{4}=\frac{1}{x}[/tex]
Taking LCM;
[tex]\frac{4+5}{20}=\frac{1}{x}\\\\\frac{9}{20}=\frac{1}{x}\\x=\frac{20}{9}[/tex]
Time taken by Camilla and Anne to decorate 2 homes = [tex]\frac{20}{9}*2=\frac{40}{9}[/tex]
Time taken to decorate Camilla and Anne 2 homes = 4.44 days
Hence,
It will take them 4.44 days to decorate 2 homes.
