Question

A b c can do a piece work 6 days if a alone complete 12 days and b alone complete 18 days how many days c alone work

Answer 1

Solutions :-
A, B and C can do a piece work 6 days.
And A alone complete 12 days and B alone complete 18 days.


(A + B + C)'s one day work = 1/6

(A + B)'s one day work = 1/12 + 1/18
= (3 + 2)/36
= 5/36


Find the time taken by C to complete the work alone :-

(A + B + C)'s one day work - (A + B)'s one day work
= 1/6 - 5/36
= (6 - 5)/36
= 1/36


C's one day work = 1/36


Hence,
C alone can do the same work in 36 days.