Multiple choice

Directions: Compare the two quantities in A and B. Quantity A Quantity B Number of people required to complete a task in 6 days if 30 people can do it in 10 days Number of people required to complete a work in 5 days if 20 people can do it in 8 days

  1. Quantity A is greater than quantity B.

  2. Quantity B is greater than quantity A.

  3. Both quantities are equal.

  4. The relationship between the quantities cannot be determined.

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

Quantity A: 30 people * 10 days = 300 man-days. Required people = 300 / 6 = 50. Quantity B: 20 people * 8 days = 160 man-days. Required people = 160 / 5 = 32. Since 50 > 32, Quantity A is greater.

AI explanation

Using the formula that people multiplied by days equals the total work, the total work for quantity A is 30 multiplied by 10, which is 300 units. The number of people required to finish this in 6 days is 300 divided by 6, which is 50. The total work for quantity B is 20 multiplied by 8, which is 160 units, and the number of people required to finish it in 5 days is 160 divided by 5, which is 32. Since 50 is greater than 32, quantity A is greater than quantity B.

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