Question

A B can do a work in 8 days. B C can do it in 12 days. A, B, C can do it in 6 days. How much time will A C take to complete the work

Answer 1

Answer:

Step-by-step explanation:

One day work of Aand B is 1/8=1/A+1/B b-----(1)

One day work of BandC is

1/12=1/8=1/C+1/B -----(2)

One day work of A,Band C is

1/6=1/A+1/B+1/C -----(3)

Substitute (1) in (3)

Get 1/C=1/6-1/8=1/24

Substitute (2) in (3)

Get 1/A=1/6-1/12=1/12

One day work of A and C is

1/A+1/1C=1/12+1/24

=1/8

So number of days 8