Question

8. There are 3 people who work full-time 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. one of the people is budgeted for 1 /2of his time to the project and a second person for 1/3 of her time, what part of the third worker’s time should be budgeted to this project?

Answer 1

Answer:

1/6 of the third workers time

Step-by-step explanation:

one of the people is budgeted for 1 /2 of his time to the project and a second person for 1/3 of her time

Let x be the third workers time

Let the completed job time = 1

Time taken for 3 workers to complete the job = 1

$\frac{1}{2}+ \frac{1}{3} + x= 1$

now we solve for x

LCD = 2*3 = 6

We multiply the whole equation by 6

$\frac{1}{2}*6+ \frac{1}{3}*6 + x*6= *6$

3 + 2 +6x = 6

5 + 6x = 6

subtract 5 on both sides

6x = 1

divide both sides by 6

$x= \frac{1}{6}$