Question

3. Three people who work full-time are to work together on a project, but their total time on the project is to be equivalent to that of only one person working full-time. If one of the people is budgeted for one-half of his time to the project and a second person for one third of her time, what part of the third worker’s time should be budgeted to this project? A. 13.3% B. 35.2% C. 16.7% D.

Answer 1

Answer:

First, find the sum of the first two workers' portion of the budget

= 1/2 + 1/3 = 3/6 + 2/6 = 5/6

The third worker should be budgeted for

1 - 5/6 = 6/6 - 5/6 = 1/6

Answer 2

Answer:

The third worker’s time budgeted to the project is $\frac{1}{6}$.  

Step-by-step explanation:

Let the work on a project be 1unit.

Given one person is working for $\frac{1}{2}$ of his time

          second person for $\frac{1}{3}$ of her time

   and let the third worker’s time be $x$.

Work on the project = total time of all the people

                              $1=\frac{1}{2} +\frac{1}{3}+x$

                              $1=\frac{3+2}{6} +x$

                              $1=\frac{5}{6} +x$

Therefore, the third worker’s time is $x=1-\frac{5}{6}$

                                                     $\implies x=\frac{6-5}{6}=\frac{1}{6}$

Hence, the third worker’s time budgeted is $\frac{1}{6}$.