Question

Brody can fill a bowl with candy in 3 minutes. While Brody fills the bowl, Hudson takes the candy out of the bowl. With Hudson taking candy out of the
bowl, it takes 5 minutes for Brody to fill the bowl.
Which of the following can be used to determine the amount of time it takes for Hudson to empty the bowl if Brody does not add candy?

Answer 1

Answer:

1/3 - 1/x=1/5

Step-by-step explanation:

Let the total work be "1"

                        Brody          Hudson              Brody+Hudson

  Time              3 mins            x min                       5 min

  Efficiency        1/3                   -1/x                          1/5

The efficiency of Hudson is negative as he is taking out the candies out of the bowl, since efficiency of Brody + efficiency of Hudson = efficiency of both, which means,

1/3 - 1/x = 1/5....