In the first 5 hours the tank losses 32000 gallons / hour x 5 hours = 160000 gallons. In the next 10 hours the tank losses 10,000 gallons / hour x 10 hours = 100000 gallons. The total amount of water loss so far is 100000 + 160000 = 260000 gallons. The total amount of water remaining in the tank is 350000 - 260000 = 90000 gallons. Once repaired, after 3 hours, the tank gains 40000 gallons / hour x 3 hours = 120000 gallons. The total amount of water in the tank after the tank is filled for 3 hours is 120000 + 90000 = 210000 gallons. The amount of water missing in the tank for it to be full is 350000 - 210000 = 140000 gallons.
The answer: 140000
Reverse engineering the question: A company has a tank that is already filled at a maximum capacity of 350,000 gallons of water. One day the tank starts losing 32,000 gallons/hour for 5 hours, after that time the company repaired the tank but it wasn't enough because the tank was still losing 10,000 gallons/hour. It stayed like that for 10 hours. In the second attempt, they managed to repair the tank and started filling it with 40,000 gallons/hour. After 3 hours, how many gallons are missing for the tank to be at maximum capacity again?


Reasoning and answer: First find the total number of children: 6 kids + 9 kids + 5 kids = 20 kids. Then divide the number of kids who prefer corn by the total number of kids and multiply by 100% to express as a percentage: 5 kids / 20 kids * 100% = 25%.
The answer: 25
What was the question?
Question: 6 kids in Carolyn's daycare prefer peas, 9 prefer carrots, and 5 prefer corn. What percentage of the children prefer corn?


Toby gave each of his brothers 1 / 7 * $343 = $49. Toby gave his 2 brothers a total of 2 * $49 = $98. So, Toby now has $343 – $98 = $245.
The answer: 245
Reverse engineering the question: Toby’s father gave him $343 for passing the test. Toby decided to share it with his two brothers, so he gave each of them 1/7 of $343. How many dollars are left for Toby?


Reasoning and answer: Jamie has had 24 ounces because 8 plus 16 equals 24. She can drink 8 ounces because 32 - 24 equals 8.
The answer: 8
What was the question?
Question: Jamie knows that once she has any more than 32 ounces of liquid she has to use the bathroom, and her teacher said that no one can use the bathroom during the math test. She remembers that she had a cup of milk at lunch and a pint of grape juice at recess. How many ounces can she drink from her water bottle during the test before she'd have to go to the bathroom? (A cup equals 8 ounces and a pint equals 16 ounces.)


A pair of mittens takes 1 hour per mitten * 2 mittens = 2 hours. A pair of socks takes 1.5 hours per sock * 2 socks = 3 hours. So a complete outfit for each child takes 2 hours per hat + 3 hours per scarf + 2 hours per pair of mittens + 3 hours per pair of socks + 6 hours per sweater = 16 hours per outfit. So to knit winter outfits for all three of her grandchildren, Martha will take 3 outfits * 16 hours per outfit = 48 hours.
The answer: 48
Reverse engineering the question: Martha is knitting winter clothes for her 3 grandchildren, who are all the same size (identical triplets.) Each set of clothes consists of a woolen hat, a scarf, a sweater, a pair of mittens, and a pair of wooly socks. She can knit a hat in 2 hours. A scarf takes her 3 hours. Each mitten takes her about an hour to knit. A sock takes an hour and a half. Each sweater takes her 6 hours. How long will it take her to knit all the outfits?


Hannah = (1 / 2) 18 = 9. 9 + 18 = 27 km. Together they walked 27 kilometers.
The answer: 27
Reverse engineering the question:
Nadia walked 18 kilometers, which was twice as far as Hannah walked. How many kilometers did the two girls walk in total?