Multiple choice

Olivia and Ethan were tasked with restoring an ancient artifact. Olivia completed the restoration in 10 days, while Ethan completed the same restoration in 15 days. What is the ratio of Olivia's work rate to Ethan's work rate?

  1. 1 : 10

  2. 3 : 5

  3. 2 : 3

  4. 3 : 2
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D Correct answer
Explanation

Olivia's rate is 1/10 work per day, and Ethan's rate is 1/15 work per day. The ratio of their rates is (1/10) / (1/15) = 15/10 = 3/2.

AI explanation

Assuming the total restoration work is 30 units, the Least Common Multiple of 10 and 15. Olivia completes 30 / 10 = 3 units per day and Ethan completes 30 / 15 = 2 units per day. Therefore, the ratio of Olivia's work rate to Ethan's work rate is 3 to 2.

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