Question

A,B and C can do piece of work in $8$days, $12$days and $24$days respectively.How many days will they together do it?

Answer 1

According to given data

Work done per day individually will be

$A\to \frac{W}{8}B\to \frac{W}{12}C\to \frac{W}{24}$

Let the number of days of completion be $x$

So, $x(\frac{W}{8}+\frac{W}{12}+\frac{W}{24})=W\Rightarrow x\frac{W}{4}=W\Rightarrow x=4$

hence, they will take 4 days to complete the work Together