Reasoning and answer: The first spacecraft flew for 30 minutes, or 30 / 60 = 1 / 2 hour. The second spacecraft flew for 30 + 30 = 60 minutes, or 1 hour. Thus the first spacecraft traveled at a speed of 448 miles in 1 / 2 hour, or 448 / (1 / 2) = 896 miles per hour. The second spacecraft traveled 448 miles in 1 hour, or 448 / 1 = 448 miles per hour. The difference in speed, in miles per hour, between the two spacecraft was 896 - 448 = 448 miles per hour.
The answer: 448
What was the question?
Question: Two alien spacecraft on a sightseeing tour of Earth left New Orleans airport at 3:00 pm to travel the 448-mile distance to Dallas by air. Traveling nonstop, the first spacecraft landed in Dallas at 3:30 pm, while the second spacecraft landed in Dallas thirty minutes later. Assuming both spacecraft traveled at constant speed, what was the difference in speed, in miles per hour, between the two spacecraft?
Her first drink consumed 1 / 4 * 4 = 1 liter of water. Thus there were 4 - 1 = 3 liters of water left in the bottle. Next, she drank 2 / 3 * 3 = 2 liters. Thus, there were 3 - 2 = 1 liters remaining.
The answer: 1
Reverse engineering the question: Kimberly went hiking and took a 4-liter bottle full of water with her. The first time she drank from it, she consumed a quarter of the water in the bottle. Later on, she drank 2/3rd of the remaining water. How much water is left in the bottle (in liters)?
Reasoning and answer: Half of 32 tables is 32 * (1 / 2) = 16 tables. 16 tables have 2 chairs each for a total of 16 * 2 = 32 chairs. 5 tables have 3 chairs each for a total of 5 * 3 = 15 chairs. There are 32 - (16 + 5) = 11 tables left. 11 tables have 4 chairs each for a total of 11 * 4 = 44 chairs. The total number of chairs is 32 + 15 + 44 = 91 chairs.
The answer: 91
What was the question?
Question: There are 32 tables in a hall. Half the tables have 2 chairs each, 5 have 3 chairs each and the rest have 4 chairs each. How many chairs in total are in the hall?
She drinks 1 / 2 bottle a day and there are 24 bottles in a case so a case will last 24 / .5 = 48 days. She needs enough to last her 240 days and 1 case will last her 48 days so she needs 240 / 48 = 5 cases. Each case is on sale for $12.00 and she needs 5 cases so that's 12 * 5 = $60.00.
The answer: 60
Reverse engineering the question: Harper drinks a 1/2 bottle of mineral water per day. She buys the mineral water by the case at a big box store. They come 24 bottles to a case and are currently on sale for $12.00. If she wants to buy enough cases to last her 240 days, how much will she spend?
Reasoning and answer: The zoo has 50 * 8 = 400 visitors in one day. The number of visitors that go to the gorilla exhibit in one day is 400 * 0.80 = 320 visitors.
The answer: 320
What was the question?
Question: The zoo has 50 new visitors entering the zoo every hour. The zoo is open for 8 hours in one day. If 80% of the total visitors go to the gorilla exhibit, how many visitors go to the gorilla exhibit in one day?
Reasoning and answer: Since Daisy is 6 inches taller than Reese, she must be 60 inches + 8 inches = 68 inches tall. Parker is 4 inches shorter than Daisy, making her 68 inches 4 inches = 64 inches. The average height of the three of them is (60 inches + 68 inches + 64 inches) / 3 = 64 inches.
The answer: 64
What was the question?
Question:
Parker is 4 inches shorter than Daisy. Daisy is 8 inches taller than Reese. If Reese is 60 inches tall, what is the average height for the three of them?