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Rufina [12.5K]
3 years ago
5

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
Mathematics
1 answer:
NikAS [45]3 years ago
3 0
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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Answer:

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Step-by-step explanation:

Equation at the end of step 1

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STEP

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STEP

3

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Pulling out like terms

3.1     Pull out like factors :

  -3x2 + 12x - 8  =   -1 • (3x2 - 12x + 8)  

Trying to factor by splitting the middle term

3.2     Factoring  3x2 - 12x + 8  

The first term is,  3x2  its coefficient is  3 .

The middle term is,  -12x  its coefficient is  -12 .

The last term, "the constant", is  +8  

Step-1 : Multiply the coefficient of the first term by the constant   3 • 8 = 24  

Step-2 : Find two factors of  24  whose sum equals the coefficient of the middle term, which is   -12 .

     -24    +    -1    =    -25  

     -12    +    -2    =    -14  

     -8    +    -3    =    -11  

     -6    +    -4    =    -10  

     -4    +    -6    =    -10  

     -3    +    -8    =    -11  

     -2    +    -12    =    -14  

     -1    +    -24    =    -25  

     1    +    24    =    25  

     2    +    12    =    14  

     3    +    8    =    11  

     4    +    6    =    10  

     6    +    4    =    10  

     8    +    3    =    11  

     12    +    2    =    14  

     24    +    1    =    25  

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