Multiple choice

Directions: In the following item, Quantity I and Quantity II are given. Determine the relationship between the quantities and choose the appropriate option. Quantity I: The number of days it takes for 5 workers to complete a task if 3 workers can complete the same task in 12 days. Quantity II: The number of days it takes for 7 workers to complete a task if 4 workers can complete the same task in 14 days.

  1. Quantity I > Quantity II

  2. Quantity I < Quantity II

  3. Quantity I ≥ Quantity II

  4. Quantity I ≤ Quantity II

  5. Quantity I = Quantity II, or No relation
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Quantity I: 3 workers * 12 days = 36 worker-days. 36 / 5 = 7.2 days. Quantity II: 4 workers * 14 days = 56 worker-days. 56 / 7 = 8 days. 7.2 < 8, so I < II.

AI explanation

Using the worker-day formula, the total work is measured as 3 workers multiplied by 12 days, equaling 36 worker-days. For Quantity I, 5 workers will take 36 worker-days divided by 5 workers, resulting in 7.2 days. For Quantity II, the total work is 4 workers multiplied by 14 days, equaling 56 worker-days; 7 workers will take 56 worker-days divided by 7 workers, resulting in 8 days. Since 7.2 days is less than 8 days, Quantity I is less than Quantity II.

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