Multiple choice

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)

If (x – 10) people were working on Project P1, then how many days would it take to complete the work?

  1. 60

  2. 50

  3. 40

  4. 30

  5. 20
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A Correct answer
Explanation

For Project P1, (Workers * Days) is constant. x * (x+5) = (x-5) * (x+15). x^2 + 5x = x^2 + 10x - 75. 5x = 75, so x = 15. If (x-10) = 5 people work, the work is 15 * 20 = 300 man-days. Days = 300 / 5 = 60.

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