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 0.4x people work on Project P2 for starting 10 days and then 0.8y people join the project after 10 days, then how many days will it take to complete Project P2, given y < 15?

  1. 30

  2. 20

  3. 25

  4. 40

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Based on the project data, P2 has y workers and (y+10) days. Total work = y(y+10). With 0.4x workers for 10 days and 0.8y workers for the rest, the equation is 0.4x(10) + 0.8y(days) = y(y+10). Solving with given constraints leads to 20 days.

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