Multiple choice

Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given, and select one of the following four answer choices: Quantity A Quantity B If 30 people can do a piece of work in 20 days, number of people to complete the work in 4 days If 50 people can do a piece of work in 12 days, number of people to complete the work in 5 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.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Quantity A: 30 * 20 = 600 man-days. People needed for 4 days = 600 / 4 = 150. Quantity B: 50 * 12 = 600 man-days. People needed for 5 days = 600 / 5 = 120. 150 > 120, so Quantity A is greater.

AI explanation

The total work for the first scenario is 600 people-days (30 people multiplied by 20 days). Using the inverse proportion formula, completing 600 people-days of work in 4 days requires 150 people. For the second scenario, the total work is 600 people-days (50 people multiplied by 12 days), and completing it in 5 days requires 120 people; therefore, Quantity A is greater than Quantity B.

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