Answer:
Third person is budgeted for one-sixth of his time.
Step-by-step explanation:
Let x be the third worker's time that should be budgeted to this project.
It is given that three people who work full-time are to work together on a project.
First worker's time that should be budgeted = [tex]\frac{1}{2}[/tex]
Second worker's time that should be budgeted = [tex]\frac{1}{3}[/tex]
It is given that total time on the project is to be equivalent to that of only one person working full-time, i.e. 1.
[tex]\frac{1}{2}+\frac{1}{3}+x=1[/tex]
Isolate the variable x.
[tex]x=1-\frac{1}{2}-\frac{1}{3}[/tex]
Taking LCM, we get
[tex]x=\frac{6-3-2}{6}[/tex]
[tex]x=\frac{1}{6}[/tex]
The value of x is 1/6. Therefore the third person is budgeted for one-sixth of his time.
