Question

A and B together can do a piece of work in `6 2/3` days, but B alone can do it in 10 days. How long will A take to do it alone?

Answer 1

A and B can do the work in =`6 2/3` days = `20/3` days

B can do the work in = 10 days

∴ (A + B)'s 1-day work =`3/20`

B's 1-day work =`1/10`

A's 1-day work =`3/20-1/10`

`=(3-2)/20=1/20`

∴ A can do the work in = 20