Passage

Directions: The data below represents the number of people required for various project to be completed in different number of days. Use this information to answer the question asked. Project Situation I Situation II Number of Workers Number of Days Required Number of Workers Number of Days Required P 1 x (x + 5) (x – 5) (x + 15) P 2 y (y + 10) 40 (y – 5) P 3 50 z 80 (y – 10) P 4 y (z – 1) (x + 10) (z – 4)

In a group B, if the total number of workers is (0.2x × 0.5y × 0.25z), then what is the total number of days required to complete Project P₃ by group B, given y > 15?

From Project P1, x times (x + 5) equals (x minus 5) times (x + 15), which solves to x equals 5. From Project P2, y times (y + 10) equals 40 times (y minus 5), giving y equals 20 (since y > 15). From Project P3, 50 times z equals 80 times (y minus 10), which equals 80 times 10, so z equals 16. The work for P3 is 50 times 16, equaling 800 units. Group B has 0.2 times 5 multiplied by 0.5 times 20 multiplied by 0.25 times 16 workers, equaling 1 times 10 times 4, which is 40 workers. The required days to complete the project is 800 divided by 40, equaling 20/3.

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