Question

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

complete a home in 4 days. Working together, how long will it take them to decorate 2 homes?

Answer 1

It will take them 4.44 days to decorate 2 homes.

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.

`(1)/(Camilla's time)+(1)/(Anne's\ time) = (1)/(total\ time)\\`

`(1)/(5)+(1)/(4)=(1)/(x)`

Taking LCM;

`(4+5)/(20)=(1)/(x)\\\\(9)/(20)=(1)/(x)\\x=(20)/(9)`

Time taken by Camilla and Anne to decorate 2 homes =
`(20)/(9)*2=(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.