Reasoning and answer: First find the time it takes Jill to run up the hill: 900 feet / 9 feet / second = 100 seconds. Then find the time it takes Jill to run down the hill: 900 feet / 12 feet / second = 75 seconds. Then add the two times to find Jill's total time: 100 seconds + 75 seconds = 175 seconds.
The answer: 175
What was the question?
Question: Jill can run up a hill at 9 feet/second and down a hill at 12 feet/second. How long does it take her to run up and down a 900 foot hill?


On the first day, Bert ate 12 / 2 = 6 sandwiches. The second day he ate 6 - 2 = 4 sandwiches. So in total Bert is left with 12 - 6 - 4 = 2 sandwiches.
The answer: 2
Reverse engineering the question: Bert made 12 sandwiches for his trip. On the first day, he ate half of the sandwiches he made. The next day he ate 2 sandwiches less. How many sandwiches does Bert have left after these two days?


Reasoning and answer: He needs 12.5 gallons per day because 25 x .5 = 12.5. It will take 20 days of travel because 4,000 / 200 = 20. He will need 250 gallons of water because 20 x 12.5 = 250.
The answer: 250
What was the question?
Question: Olaf is sailing across the ocean with 25 men, including himself. He needs 1/2 a gallon of water per day per man. The boat can go 200 miles per day and he needs to travel 4,000 miles. How many gallons of water does he need?


The total ratio representing the slices of pizza that Buzz bought is 5 + 8 = 13. If he shared the slices of pizza with the waiter, the waiter received a fraction of 8 / 13 of the total number of slices, which totals 8 / 13 * 78 = 48 slices. Twenty less the number of slices of pizza that the waiter ate is 48 - 20 = 28.
The answer: 28
Reverse engineering the question: If Buzz bought a pizza with 78 slices at a restaurant and then decided to share it with the waiter in the ratio of 5:8, with Buzz's ratio being 5, what's twenty less the number of slices of pizza that the waiter ate?


Reasoning and answer: Since the hypotenuse of a triangle is found by the square root of the base squared plus the height squared. The square of the base of the first triangle is 4 * 4 = 16 square inches. The square of the height of the first triangle is 3 * 3 = 9 square inches. The sum of the squares of the base and the height of the first triangle is 16 + 9 = 25. The square root of the sum of the base and the height of the first triangle, which is the hypotenuse of the triangle, is √25 = 5 inches. Since the perimeter of a triangle is found by adding the sides of the triangle, the base and height of the triangle sum up to 3 + 4 = 7 inches. If you add the hypotenuse of the triangle the perimeter of the triangle becomes 7 + 5 = 12 inches.
The answer: 12
What was the question?
Question: Elliott drew a right-angle triangle on his book. It had a base of 4 inches, a height of 3 inches and a certain length of the hypotenuse. What was the length of the perimeter of the triangle that he drew?


Reasoning and answer: Jose has half as many bottles of domestic wine as imported wine, or 2400 / 2 = 1200 bottles of domestic wine. In total, he has 2400 + 1200 = 3600 bottles of wine. If the guests drink one - third of all his wine, then they will have consumed 3600 / 3 = 1200 bottles of wine. Thus, after the party, Jose's private cellar will have 3600 - 1200 = 2400 remaining bottles of wine.
The answer: 2400
What was the question?
Question:
Jose is a collector of fine wines. His private cellar currently holds 2400 bottles of imported wine and half as many bottles of domestic wine as imported wine. If Jose holds a party and the guests drink one-third of all his wine, how many bottles will remain in his cellar?