Ramvir alone can do a work in 17 days, Birbal alone can do the same work in 34 days, Chahar alone can do the same work in 51 days. They start the work together and completed the work such that A did not work on last 3 days and C did not work on last 1 day. In how many days (total) was the work completed? 

\(\frac{122}{11}\) days 

Let us include A's last 3 days work and C's last 1 day work in total work .

A's last 3 days work = + 18

C's last 1 day work = + 2

Total work = 102 + 20 = 122

Total work was completed = \(\frac{122}{11}\) days