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 1/2 of his time to the project and a second person for 1/3 of her time, what part of the third worker's time should be budgeted to this project? Select the correct option.
A) 1/3	B) 1/4	C) 1/6	D) 1/8	E) 1/9
Explanation:   One-half (1/2) plus one-third (1/3) equals five-sixths (5/6), so one-sixth (1/6) of the third worker's time should be budgeted to the project in order for the total time to be equivalent to that of one person working full-time.   If x 2 - x - 6 = 0, then (x + 2)(x - 3) = 0, so x = -2 or x = 3.   Correct answer : 1/3
<result>A</result>
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 1/2 of his time to the project and a second person for 1/3 of her time, what part of the third worker's time should be budgeted to this project?