B And C Can Do Piece Of Work In 6 Days 12 Days And 24 Days Respectively

A, B and C can do a piece of work in 6 days, 12 days and 24 days respectively. In what time will they all together do it ?

Answers:

A can do a piece of work in = 6 days

B can do a piece of work in = 12 days

C can do a piece of work in = 24 days

∴ A’s 1 day work = 1/6

∴ B’s 1 day work = 1/12

∴ C’s 1 day work = 1/24

(A + B + C)’S 1 day work = 1/6 + 1/12 + 1/24

= (4 + 2 + 1)/24 = 7/24

∴ (A + B + C) can do the work in = 24/7 days

= 3. 3/7 days