Reasoning and answer: At first at 50 miles / hour he travels 50 miles / hours * 3 hours = 150 miles. After that, he speeds up, traveling 80 miles / hours * 4 hours = 320 miles. He travels a total of 150 miles + 320 miles = 470 miles. He is 600470 = 130miles from the hotel.
The answer: 130
What was the question?
Question: Samuel is driving to San Francisco's Comic-Con in his car and he needs to travel 600 miles to the hotel where he made a reservation. At first, he drives at 50 miles/hour for 3 hours straight, then he speeds up to 80 miles/hour for 4 hours. How far is he from the hotel?
It will take 3 * 5 = 15 minutes to brush his cats. All together, it will take 45 + 60 + 30 + 15 = 150 minutes to clean his apartment. In three hours, there are 60 * 3 = 180 minutes. Thus, he will have 180 - 150 = 30 minutes of free time remaining.
The answer: 30
Reverse engineering the question: Gunther needs to clean his apartment. It takes him 45 minutes to vacuum the carpets, 60 minutes to dust the furniture, 30 minutes to mop the floors in his kitchen, and 5 minutes to brush each cat, and he has three cats. If he has 3 hours of free time available, and he uses this time to clean his apartment, how many minutes of free time will he have left after he cleans the apartment?
Reasoning and answer: First first out how many euros Willie should have gotten using the official exchange rate: 70 euros / 5 euros / dollar = $14. Then multiply this quantity by 5 / 7 to find how many dollars he actually got: 14 dollars * 5 / 7 = $2 * 5 = $10.
The answer: 10
What was the question?
Question: Willie came back from Europe with 70 euros. Normally 5 euros is worth 1 dollar, but the money exchange at the airport will only give Willie 5/7ths of the official exchange rate. How many dollars does Willie get?
30 x 1 / 5 = 6 students like Math. 30 x 1 / 3 = 10 students like English. So, 6 + 10 = 16 students like either Math or English. Thus, 30 - 16 = 14 students neither like Math nor English. Since 1 / 7 of the remaining like Science, therefore 14 x 1 / 7 = 2 students like Science. Hence, 14 - 2 = 12 students neither likes the 3 subjects.
The answer: 12
Reverse engineering the question: In a class of 30 students, the teacher polls the students on their favorite subject. 1/5 of the students like Math, and 1/3 like English. 1/7 of the remaining students like Science. The rest don't have a favorite subject. How many students don't have a favorite subject?
Reasoning and answer: John is 8 years old because 18 - 10 = 8 years old. Their parents are currently 40 years old because 8 * 5 = 40. Therefore, they were 22 when Mark was born because 40 - 18 = 22 years old.
The answer: 22
What was the question?
Question: Mark is 18 years old. He has a little brother, John, who is 10 years younger. If John and Mark's parents are currently 5 times older than John, how old were they when Mark was born?
Reasoning and answer: When Brooke gets twelve more balloons, his total becomes 12 + 8 = 20. When Tracy adds 24 more balloons to her 6, her total number of balloons becomes 24 + 6 = 30. When half of Tracy's balloons pop, she remains with 1 / 2 * 30 = 15. The combined total balloons for the two is 15 + 20 = 35 balloons.
The answer: 35
What was the question?
Question:
If Brooke adds eight balloons to his current 12, and Tracy adds 24 to her current 6, how many balloons will they have in total if Tracy pops half of her balloons?