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30 Dec 2023, 22:55
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41% (02:07) correct
59%
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wrong
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During a festive Christmas Eve toy-making competition, Elvin the elf crafted exactly 75 toys, while Nori the elf crafted exactly 60 toys. How long did the toy-making competition last?
(1) During the competition, Nori the elf's average toy crafting rate was 5 toys per hour slower than Elvin the elf's average rate.
(2) During the competition, the ratio of Elvin the elf's average toy crafting rate to Nori the elf's average toy crafting rate was 5 to 4.
(1) During the competition, Nori the elf's average toy crafting rate was 5 toys per hour slower than Elvin the elf's average rate.
(2) During the competition, the ratio of Elvin the elf's average toy crafting rate to Nori the elf's average toy crafting rate was 5 to 4.
30 Dec 2023, 22:55
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Official Solution:
During a festive Christmas Eve toy-making competition, Elvin the elf crafted 75 toys, while Nori the elf crafted 60 toys. How long did the toy-making competition last?
(1) During the competition, Nori the elf's average toy crafting rate was 5 toys per hour slower than Elvin the elf's average rate.
Since Elvin crafts 5 more toys per hour than Nori, to account for the difference of 75 - 60 = 15 toys during the competition, they must have worked for 15/5 = 3 hours. Sufficient.
(2) During the competition, the ratio of Elvin the elf's average toy crafting rate to Nori the elf's average toy crafting rate was 5 to 4.
This only reiterates what we already know from the stem: Elvin crafted 75 toys and Nori crafted 60 toys, which means the ratio of their rates was 75:60 = 5:4. Not sufficient.
Answer: A
During a festive Christmas Eve toy-making competition, Elvin the elf crafted 75 toys, while Nori the elf crafted 60 toys. How long did the toy-making competition last?
(1) During the competition, Nori the elf's average toy crafting rate was 5 toys per hour slower than Elvin the elf's average rate.
Since Elvin crafts 5 more toys per hour than Nori, to account for the difference of 75 - 60 = 15 toys during the competition, they must have worked for 15/5 = 3 hours. Sufficient.
(2) During the competition, the ratio of Elvin the elf's average toy crafting rate to Nori the elf's average toy crafting rate was 5 to 4.
This only reiterates what we already know from the stem: Elvin crafted 75 toys and Nori crafted 60 toys, which means the ratio of their rates was 75:60 = 5:4. Not sufficient.
Answer: A
12 Aug 2024, 01:11
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Bunuel How have we arrived at this- they must have worked for 15/5 = 3 hours?
