SOLUTION: 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

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Question 1022079: 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?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
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?
:
let completed job time = 1
let x = part time by the 3rd person
:
1%2F2 + 1%2F3 + x = 1
a common denominator
3%2F6 + 2%2F6 + x = 6%2F6
5%2F6 + x = 6%2F6
x = 6%2F6 - 5%2F6
x = 1%2F6 of the 3rd workers time