Trick/Theorem:- If ‘A‘, ‘B‘ and ‘C‘ can complete a piece of work in ‘X‘ days and ‘A‘ and ‘B‘ can complete the same work in ‘Y‘days.

Then, ‘C’ alone complete the same work in 

Or,

Trick/Theorem 2:- If ‘A‘, ‘B‘ and ‘C‘ can complete a piece of work in ‘X‘ days and ‘A‘ alone can complete the same work in ‘Y‘ days.

Then, ‘B’ and ‘C’ together will complete the same work in 

Let’s solve a Question for Learn This Time and Work Tricks

Q-1) A, B and C together can finish a job in 8 days. While B and C together can finish the same job in 24 days. C alone will finish the same job in – a) 6 days b) 9 days c) 12 days d) 15 days

Solution:- A, B and C together can finish a job in 8 (X) days.

While B and C together can finish the same job in 24 (Y) days.

Now apply Work and Time Tricks:-

So Now Put, X=8 and Y=24

Your answer c) 12 days. [ So, A alone will finish the same job in 12 days.]

For Better Learn Time and Work Tricks