A and B can complete a piece of work in 8 and 10 days respectively However they work alternately one day each with beginning the work In how much time will the work be completed?

Answer 1

With WHO beginning the work? Person A? You seem to have left out a letter.

Assume A starts the job. After 1 day it will be 1/8 complete. After 8 days is will be 4/8 + 4/10 = 9/10 complete, and it will be A's turn again. The job will be completed near the end the ninth day.