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12 March, 23:49

3 people work full time together on a project, but their total time on the project is to be equivalent to only 1 person working full time. 1 person worked 1/2 the time, a second person worked 1/3rd of her time. what part of the third workers time should be budgeted for this project

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  1. 13 March, 01:43
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    Let x = the amount of time that the third person needs to work on the job to add up to one

    1 = 1/2 + 1/3 + x

    1 - 1/2 - 1/3 = x

    To subtract the fractions we need to put them all over a common denominator. Let's use 3*2 = 6 as the denominator; so 1 = 6/6, 1/2 = 3/6, 1/3 = 2/6:

    6/6 - 3/6 - 2/6 = x

    1/6 = x

    The third person must work 1/6 time on the project.
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