Skip to content

Instantly share code, notes, and snippets.

@john-adeojo
Last active October 25, 2023 18:25
Show Gist options
  • Save john-adeojo/14c03fc2cd621bc2fe40796658524b80 to your computer and use it in GitHub Desktop.
Save john-adeojo/14c03fc2cd621bc2fe40796658524b80 to your computer and use it in GitHub Desktop.
analogy_1: Question: Sally had 120 marbles and gave away 25% of them. How many marbles does Sally have left?,
answer to analogy_1: Sally has 90 marbles left.
analogy_2: Question: Trent baked 24 cookies and gave away 60% of them. How many cookies did he keep?,
answer to analogy_2: Trent kept 9 cookies.
Reasoning: Let's think step by step in order to find out how many tadpoles Trent kept. We know that Trent caught 180 tadpoles and let go of 75% of them. To find out how many he kept, we need to subtract the number he let go from the total number he caught.
Answer: Trent kept 45 tadpoles.
---
Question: A train takes 4 hours to reach a destination at a speed of 50 miles per hour. How long would it take if it traveled at 100 miles per hour instead?
Context:
analogy_1: Question: A car takes 6 hours to drive 300 miles at a speed of 50 miles per hour. How long would it take if it traveled at 75 miles per hour instead?,
answer to analogy_1: It would take 4 hours.
analogy_2: A car drives 200 miles in 4 hours at a speed of 50 miles per hour. How long would it take to drive the same distance at a speed of 100 miles per hour instead?,
answer to analogy_2: 2 hours
Reasoning: Let's think step by step in order to produce the answer. We know that the train takes 4 hours to reach the destination at a speed of 50 miles per hour. This means that it travels a total distance of 4 * 50 = 200 miles. If the train were to travel at 100 miles per hour instead, we can use the formula distance = speed * time to find the new time it would take. Rearranging the formula, we have time = distance / speed. Substituting the values, we get time = 200 / 100 = 2 hours. Therefore, if the train traveled at 100 miles per hour instead, it would take 2 hours to reach the destination.
Answer: 2 hours
---
Question: Tricia is a third of Amilia’s age and Amilia is a quarter of Yorick’s age. Yorick is twice Eugene’s age and Khloe is a third of Eugene’s age. Rupert is 10 years older than Khloe but 2 years younger than Vincent who is 22 years old. How old, in years, is Tricia?
Context:
analogy_1: Question: Tricia is a third of Amilia’s age and Amilia is a quarter of Yorick’s age. Yorick is twice Eugene’s age and Khloe is a third of Eugene’s age. Rupert is 10 years older than Khloe but 2 years younger than Vincent who is 22 years old. How old, in years, is Vincent?
Analogy: Following the same pattern, Tricia is a third of Amilia's age and Amilia is a quarter of Yorick's age. Yorick is twice Eugene's age and Khloe is a third of Eugene's age. Rupert is 10 years older than Khloe but 2 years younger than Vincent who is 22 years old. How old, in years, is Eugene?,
answer to analogy_1: 30
analogy_2: Question: If John is half of Sarah's age and Sarah is a third of Emily's age, and Emily is four times the age of Michael, and Michael is twice the age of David, and David is 10 years younger than Olivia who is 30 years old, how old, in years, is John?,
answer to analogy_2: 27
Reasoning: Let's think step by step in order to find Tricia's age. First, we know that Tricia is a third of Amilia's age. Let's call Amilia's age A. So Tricia's age is A/3. Next, we know that Amilia is a quarter of Yorick's age. Let's call Yorick's age Y. So Amilia's age is Y/4. Then, we know that Yorick is twice Eugene's age. Let's call Eugene's age E. So Yorick's age is 2E. After that, we know that Khloe is a third of Eugene's age. So Khloe's age is E/3. Moving on, we know that Rupert is 10 years older than Khloe. So Rupert's age is (E/3) + 10. Finally, we know that Vincent is 22 years old and Rupert is 2 years younger than Vincent. So Rupert's age is 22 - 2 = 20. Now, we can solve for Eugene's age. Since Yorick is twice Eugene's age, we have 2E = 20, which means E = 10. Using this information, we can find Tricia's age. Tricia is a third of Amilia's age, and Amilia is a quarter of Yorick's age, and Yorick is twice Eugene's age. So Tricia's age is (10/4) * (1/3) = 10/12 = 5/6.
Answer: Tricia is 5/6 years old.
---
Question: Michael is traveling on the interstate at an average speed of 50km/hr (taking into account all the necessary stops for gas, relaxation, etc.). If he goes on like this for 3 days, and the distance between Alaska and Texas is 6000 km, what percentage of this distance has he covered?
Context:
analogy_1: Question: Sarah is traveling on the interstate at an average speed of 60km/hr (taking into account all the necessary stops for gas, relaxation, etc.). If she goes on like this for 5 days, and the distance between California and New York is 3000 km, what percentage of this distance has she covered?,
answer to analogy_1: Sarah has covered 240% of the distance between California and New York.
analogy_2: Question: Sarah is traveling on the interstate at an average speed of 60km/hr (taking into account all the necessary stops for gas, relaxation, etc.). If she goes on like this for 5 days, and the distance between California and New York is 3000 km, what percentage of this distance has she covered?,
answer to analogy_2: Sarah has covered 240% of the distance between California and New York.
Reasoning: Let's think step by step in order to calculate the percentage of the distance Michael has covered. We know that Michael is traveling at an average speed of 50km/hr and he is traveling for 3 days. So, the total distance he would cover in 3 days is 50km/hr * 3 days = 150km. The distance between Alaska and Texas is 6000km. To find the percentage of the distance Michael has covered, we divide the distance he has covered (150km) by the total distance (6000km) and multiply by 100. So, the percentage is (150km / 6000km) * 100 = 2.5%.
Answer: Michael has covered 2.5% of the distance between Alaska and Texas.
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment