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

1/6 of the third workers time

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

`(1)/(2)+ (1)/(3) + x= 1`

now we solve for x

LCD = 2*3 = 6

We multiply the whole equation by 6

`(1)/(2)*6+ (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= (1)/(6)`