Multiple choice

Directions: Compare the two quantities in A and B. A is 50% less efficient than B. B takes 12 days to complete a piece of work. Quantity A Quantity B Number of days required for both A and B together to complete the work. 7

  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

B's efficiency = 1 unit/day. A's efficiency = 0.5 units/day. Together = 1.5 units/day. Days to complete = 12/1.5 = 8 days. Quantity A (8) > Quantity B (7).

AI explanation

If B takes 12 days, his daily work rate is 1/12. Since A is 50 percent less efficient, A's daily work rate is half of B's, which is 1/24. Their combined daily work rate is 1/12 + 1/24 = 3/24 = 1/8, meaning they take 8 days to complete the work together. Quantity A is 8, which is greater than Quantity B's value of 7.

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