Question

A and B can do a piece of work in 6 and 4 days respectively. After A has worked for 2 days,he is joined by B. In how many more days will the work be completed.

Answer 1

A can do the work in 6 days

A's one day work is 1/6

A's two day work is 1/6×2 = 1/3

Remaining work = 1-1/3 = 3-1/3 = 2/3

B can do the work in 4 days

B's one day work is 1/4

(A+B) 's one day work = 1/6+1/4 = 5/12

Then

A+B can do the 2/3 of the work in 2/3÷5/12 =2/3×12/5 = 8/5 days

So the work is completed in 8/5 more days.

I hope it is right answer

Thank you so much.