A B and C complete a work respectively in 36 days.54days and 72 days all the three start together. 8days before complete A left the work 12 days before completing B. left it C did the work for

Take LCM of 36,54 and 72 which comes out to be 216 assume this as total work<br>Now Efficiency of A,B,C is 6,4,3 units respectively<br>Let C work for X days then total units produced by C is 3X <br>Similarily Total units produced by A and B is 6(X-8) and 4(X-12) as they worked 8 and 12 days less than C<br>Now Total work is 3X+6X-48+4X-48=216<br>13X=216+96<br>X= 312/13<br>X= 24 thus C works for 24 days<br>