If the third leg of Rick's trip was half the distance of the first leg, was 40 miles, this means the first leg was 40 * 2 = 80 miles long. If the second leg of the trip was twice the distance of the first leg, that means it was 80 * 2 = 160 miles long. If the fourth leg was equal in distance to the total amount traveled across the first 3 legs, that means it was equal to 40 + 80 + 160 = 280 miles long. This means in total Rick traveled 280 + 280 = 560 miles.
The answer: 560
Reverse engineering the question: Rick took off on a road trip for the summer. He traveled to the first destination on his trip, and then from there, he traveled twice the distance to this second destination. The third point on his trip was 40 miles away, which was half the distance he traveled from the beginning to his first destination. The final destination took twice the amount of driving of all the other legs put together. How many miles in total did he travel across all the legs of the trip?


Reasoning and answer: Molly has two parents and three brothers, which totals 2 + 3 = 5 parents and siblings. Since each brother is married with 2 children, then each brother has a family containing 1 + 2 = 3 people. Thus, the families of the three brothers contain an additional 3 * 3 = 9 relatives. In total, Molly has 5 + 9 = 14 relatives. At $5 per package, Molly will spend 14 * $5 = $70 to mail the packages.
The answer: 70
What was the question?
Question: It costs Molly $5 per package to send Christmas gifts to her relatives by mail. She has two parents and three brothers, and each of her brothers is married with 2 children each. If she sends one package to each relative by mail, how much does it cost her to send all of the gifts by mail to her relatives, in dollars?


First find the total time Javier spends writing: 30 minutes + 28 minutes = 58 minutes. Then divide that amount of time by 2 to find how much time he spends practicing: 58 minutes / 2 = 29 minutes. Then add the time he spends outlining, writing and practicing to find his total time spent: 29 minutes + 58 minutes + 30 minutes = 117 minutes.
The answer: 117
Reverse engineering the question: Javier spends 30 minutes outlining his speech, 28 more minutes writing than outlining, and half as much time practicing as writing. How much time does he spend on his speech in total?


Reasoning and answer: She has 5 1.5 hour appointments on Monday for a total of 5 * 1.5 = 7.5 hours. She has 2 2 hour appointments on Thursday for a total of 2 * 2 = 4 hours. She is working 7.5 hours on Monday, 3 hours on Tuesday, 4 hours on Thursday and 6 hours on Saturday for a total of 7.5 + 3 + 4 + 6 = 20.5 hours. She charges $20.00 an hour and is working 20.5 hours a week for a total of 20 * 20.5 = $410.00.
The answer: 410
What was the question?
Question: Amanda charges $20.00 per hour to help clean out and organize a person's home. She has 5 1.5 hours appointments on Monday, a 3-hours appointment on Tuesday and 2 2-hours appointments on Thursday. On Saturday, she will spend 6 hours at one client's house. How much money will she make this week?


First find the total number of clouds Carson's brother counted: 6 clouds * 3 = 18 clouds. Then add the number Carson counted to find the total: 18 clouds + 6 clouds = 24 clouds.
The answer: 24
Reverse engineering the question: Carson counts 6 clouds that look like funny animals. His little brother counts three times as many clouds that look like dragons. How many clouds did they count in total?


Let x be David's age. Yuan is seven years older than David, 7 + x = Y years. Yuan is also twice David's age, 2 * x = Y years. Since these two equations equal the same thing, we can write: 7 + x = 2 * x. Subtracting x from both sides we get 7 = x, so David is 7 years old.
The answer: 7
Reverse engineering the question:
Yuan is 7 years older than his brother David and twice his age. How old is David?