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?
:
let completed job time = 1
let x = part time by the 3rd person
:
{{{1/2}}} + {{{1/3}}} + x = 1
a common denominator
{{{3/6}}} + {{{2/6}}} + x = {{{6/6}}}
{{{5/6}}} + x = {{{6/6}}}
x = {{{6/6}}} - {{{5/6}}}
x = {{{1/6}}} of the 3rd workers time