Question

A and B can do a work in 8 days ,B and C can do the same work in 12
days. A, B, C together can finish it in 6days. A and C together will
do it in

Answer 1

Answer:

Using LCM method:

total work is equal to LCM of 8, 12 & 6 i.e. 24 units

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

So, A+B complete 3 parts per day. (24/8=3)

B+C complete 2 parts per day.(24/12=2)

A+B+C complete 4 parts per day. (24/6=4)

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.(24/3=8)