Question

1 man and 1 woman together can complete a piece of work in 8 days. a man alone can complete the work in 10 days. in how many days can one woman alone complete the work

Answer 1

40 days from 1/10+1/w=1/8 giving w=40

Answer 2

Answer:

40 days

Step-by-step explanation:

1 man and 1 woman together can complete a piece of work in 8 days

1 man and 1 woman together can do a part of work in 1 day = $\frac{1}{8}$

A man alone can complete the work in 10 days.

A man alone can do a part of work in 1 day = $\frac{1}{10}$

So, Woman alone can do a part of work in 1 day = $\frac{1}{8}-\frac{1}{10}$

                                                                               = $\frac{1}{40}$

Woman alone can do $\frac{1}{40}$ of work in 1 day

Woman alone can do whole work in days = $\frac{1}{\frac{1}{40}}$

                                                                     = $40$

Hence one woman alone can complete the work in 40 days.