Question

8. a alone can do 1/4th of the work in 2 days. b alone can do 2/3th of the work in 4 days. if all the three work together, they can complete it in 3 days so what part of the work will be completed by c in 2 days? a) 1/12 b) 1/8 c) 1/16 d) 1/20

Answer 1

A alone can do 1/4th of the work in 2 days so their one day work will be 1/8th of the total work. alone can do two third of the work in 4 days, so B's one day work will be one sixth of the total work. Since A, B and C together can complete the work in 3 days, their one day work will be one third of the total work.

Let C's one day work be x.

A.T.Q.,

1/8 + 1/6 + x = 1/3

x = 1/24

Therefore C will complete 1/12th of the work in 2 days.