Answer: C can complete the work in 12 days.
Step-by-step explanation:
Alright, lets get started.
Given that, A and B can separately do a piece of work in 24 days and 16 days respectively.
It means, in 1 day, A can complete the part of work :
It means, in 1 day, B can complete the part of work :
As they both worked together for 6 days,
in 6 days, A can complete the part of work :
in 6 days, B can complete the part of work :
So, together they had completed the work :
So remaining work will be :
So remaining work will be :
Now this remaining work is done by A and C together.
Suppose C alone can do this work in C days.
So in 3 days, A and C completed the rest work :
Hence C can complete the work in 12 days. : Answer
Hope it will help :)