Question

there are three people who work full-time and 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 workers time should be budgeted to this project

Answer 1

This would be:
$1 - \frac{1}{2} - \frac{1}{3}$

Using common denominator of 6:
$\frac{6}{6}- \frac{3}{6}- \frac{2}{6} = \frac{1}{6}$

They should use $\frac{1}{6}$ of their time.