Question

A and B can do a piece of work in 8 days ,B and c can do the same work in 12days and

A,B,C complete it in 12 days and A,B,C complete it in 6 days . In how many days A and C

finish it?​

Answer 1

Answer:

We will solve this question using the LCM technique.

A+B=8 Days; B+C=12 Days; A+B+C=6 Days.

So, let the TOTAL WORK be 24 Parts.

Note: 24 is the LCM of 8, 12 & 6.

So, A+B complete 3 parts per day.

B+C complete 2 parts per day.

A+B+C complete 4 parts per day.

Now, 2(A+B+C)−(A+B)−(B+C)=(A+C)

=>(A+C)=2(4)−3−2

=>(A+C)=3 parts per day.

A & C will take 8 days to complete