Question

Asap answer plssss!, John can do a piece of work in 6 days. When he and Marsha work together, it takes only 4 days. How long will it take Marsha to do the work if she works alone? asap answer plssssss

Answer 1

Answer:

12 days

Step-by-step explanation:

Let the amount of work be x.

John:

6 days = x

1 day = $\frac{1}{6}$x

Together:

4 days = x

1 day = $\frac{1}{4}$x

Marsha:

1 day = $\frac{1}{4}$x - $\frac{1}{6}$x

        = $\frac{6}{24}$x - $\frac{4}{24}$x

        = $\frac{2}{24}$x

        = $\frac{1}{12}$x

Marsha can do $\frac{1}{12}$ of the work in 1 day.

No. of days taken (Marsha) = x ÷ $\frac{1}{12}$x

                                             = 12