Can Do Piece Of Work In 6 Days And B Can Do It In 8 Days

A can do a piece of work in 6 days and B can do it in 8 days. How long will they take to complete it together ?

Answers:

A can do a work in = 6 days

∴  A’s one day’s work = 1/6

B can do the same work in = 8 days

∴  B is one day’s work = 1/8

∴   A and B’s both one day’s work  = 1/6 + 1/8

= (4 + 3)/24

= 7/24

∴  Both A  and B can do the same work in 24/7 = 3.3/7 days