B And C Can Do Piece Of Work In 12 15 And 20 Days Respectively

A, B and C can do a piece of work in 12, 15 and 20 days respectively. How long will they take to do it working together ?

Answers:

A can do a piece of work in 12 days

B can do the same work in 15 days

C can do the same work in 20 days

∴   A’s 1 day’s work = 1/12

B’s  1 day’s  work = 1/15

C’s  1 day’s  work = 1/20

∴   (A + B + C)’s together 1 day’s work = 1/12 + 1/15 + 1/20

= (5 + 4 + 3)/60

= 12/60

= 1/5

∴   They can do the work in 5 days.