It takes the drain 4 hours to empty the pool, so it drains at a rate of 120 liters / 4 hours = 30 liters / hour. After 3 hours, the drain will have removed 3 * 30 = 90 liters of water from the pool. It takes the hose 6 hours to fill the pool, so it fills at a rate of 120 liters / 6 hours = 20 liters / hour. After 3 hours, the hose will have added 3 * 20 = 60 liters of water to the pool. After 3 hours, there will be 120 liters + 60 liters 90 liters = 90 liters of water left in the pool.
The answer: 90
Reverse engineering the question: A swimming pool is being emptied through a drain at the bottom of the pool and filled by a hose at the top. The drain can empty the pool in 4 hours and the hose can fill the pool in 6 hours. The pool holds 120 liters of water. If the pool starts filled with water, how much water will be left after 3 hours?
Reasoning and answer: The guitar costs $100 every month for 12 months so it costs 100 * 12 = $1200. His dad is charging him 10% interest on the $1200 so interest comes to .10 * 1200 = $120.00. All total, Aaron will owe his father the price of the guitar, $1200 and the interest, $120 so 1200 + 120 = $1,320.00.
The answer: 1320
What was the question?
Question: Aaron wants to purchase a guitar under a payment plan of $100.00 per month for 12 months. His father has agreed to lend him the entire amount for the guitar, plus a one-time 10% interest fee for the entire loan. With interest, how much money will Aaron owe his dad?
First find the total difference in weight between the two people: 60 pounds - 40 pounds = 20 pounds. Then divide the weight difference by the weight of each rock to find the number of rocks need to even the weights: 20 pounds / 4 pound / rock = 5 rocks.
The answer: 5
Reverse engineering the question: Jack, who weighs 60 pounds, wants to play on the see-saw with his cousin Anna, who weighs 40 pounds. How many 4-pound rocks does Jack need to hold to make their weights equal?
Reasoning and answer: He swam 2 * 2 = 4 miles. He ran for 2 / 2 = 1 hour. His running speed was 2 * 4 = 8 mph. So he ran 8 * 1 = 8 miles. So his total distance was 8 + 4 = 12 miles.
The answer: 12
What was the question?
Question: Tom swims for 2 hours at a speed of 2 miles per hour. He then runs for half the time at 4 times the speed. How many miles did he cover?
If rice weighed 30 kg less than the green beans, then the total rice weight is 60 kg - 30 kg = 30 kg. If the green beans weighed 10 kg more than sugar, then the total sugar weight is 60 kg - 10 kg = 50 kg. When 1 / 3 weight of rice was lost, the weight loss became 1 / 3 * 30 = 10kg. The weight of rice after the loss is 30 kg - 10 kg = 20 kg. When 1 / 5 weight of sugar was lost, the lost weight was 1 / 5 * 50 kg = 10 kg. The weight of sugar after the loss is 50 kg - 10 kg = 40 kg. The total weight for all the items is 40 kg + 20 kg + 60 kg = 120 kg.
The answer: 120
Reverse engineering the question: Lyla, a grocery store owner, bought rice weighing 30 kg less than green beans, which weigh 10 kg more than sugar. While carrying the goods to the store, the bags fell down and 1/3 weight of the rice and 1/5 weight of sugar was lost. If the green beans weighed 60 kgs, then how much did the remaining stock weigh?
Fred spent $236 - $14 = $222 on books. The cost per book is $222 / 6 books = $37.
The answer: 37
Reverse engineering the question:
Fred had 236 dollars to spend on 6 books. After buying them, he had 14 dollars. On average, how much did each book cost?