SOLUTION: There are 3 people who work fulltime 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. I

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: There are 3 people who work fulltime 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. I      Log On


   

Question 1103021: There are 3 people who work fulltime 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 1/2 of his time to the project and second person for 1/3 of her time, what part of the third worker's time should be budgeted to this project?
Found 2 solutions by ikleyn, richwmiller:
Answer by ikleyn(52752) About Me  (Show Source):
You can put this solution on YOUR website!
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There are 3 people who work fulltime 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 1/2 of his time to the project and
second person for 1/3 of her time, what part of the third worker's time should be budgeted to this project?
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It is the same as to ask:


    How much is 1+-+1%2F2+-+1%2F3 ?



And the answer is 


    1+-+1%2F2+-+1%2F3 = 6%2F6+-+3%2F6+-+2%2F6 = 1%2F6.


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In your post you use the words "his" and "her" as if they relate to the same person.

I did not understand this moment.


Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
If I am reading the problem correctly the first person (male) is referred to as "ONE of the people is budgeted for 1/2 of HIS time to the project" and the SECOND person (female) is referred to as "second person for 1/3 of HER time."