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13 Dec 2023, 07:00
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A
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Difficulty:
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Question Stats:
49% (02:06) correct
51%
(01:50)
wrong
based on 296
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12 Days of Christmas 🎅 GMAT Competition with Lots of Questions & Fun
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 toy crafting rate was 5 toys per hour slower than Elvin the elf's.
(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.
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 toy crafting rate was 5 toys per hour slower than Elvin the elf's.
(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.
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16 Dec 2023, 07:34
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GMAT Club Official Explanation:
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 toy crafting rate was 5 toys per hour slower than Elvin the elf's.
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.
General Discussion
Updated on: 04 Jan 2025, 08:44
Originally posted by missionmba2025 on 13 Dec 2023, 07:14.
Last edited by missionmba2025 on 04 Jan 2025, 08:44, edited 1 time in total.
Last edited by missionmba2025 on 04 Jan 2025, 08:44, edited 1 time in total.
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Bunuel
(1) During the competition, Nori the elf's toy crafting rate was 5 toys per hour slower than Elvin the elf's.
Rate of Elvin = e
Rate of Nori = e - 5
At the end of the competition both used the same time
\(\frac{75}{e} = \frac{60}{e-5}\)
Solving for e we get, e = 25
Hence, the competition lasted for 75/25 = 3 hours. Statement 1 is 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.
Rate of Elvin = e
Rate of Nori = 4/5 e
\(\frac{75}{e} = \frac{60}{4/5e}\)
We can cancel the rate out, hence the statement will not have any variable to calculate. The statement is not sufficient
IMO A
