Question

A and B working together can do a piece of work in 10 days B alone can do the same work in 15 days. How long will A alone take to do the same work?

Answer 1

A and B working together can do a piece of work in 10 days

and B alone can do the same work in 15 days

A and B's one day's work = `1/10`

and B's one day's work = `1/15`

∴ A's one day's work = `1/10 - 1/15`

`= (3 - 2)/30 = 1/30`

Hence A can do the same work in = 30 days