A can do a piece of work in 12 days whereas B can destroy the work in 3 days. A does the work for 10 days and then B destroys the work up to 2 days. In how many days will the work be finished? (explaination please)

Answer 1

in 10 days, A does 10/12 of the work
In 2 days, B destroys 2/3 of the work

10/12 - 8/12 = 1/6

Since A does 1/12 each day, it will take 2 more days to finish.