On the weekend, Jeff works 3 / 3 = 1 hour each day. On the weekdays, he spends 4 * 3 = 12 hours working each day. Thus, he spends 2 * 1 + 5 * 12 = 62 hours working each week.
The answer: 62
Reverse engineering the question: Jeff spends three times as many hours on the weekend catching up with his Facebook pals as he does working. Monday through Friday, however, he spends four times as many hours working as he does catching up. If he spends 3 hours every day catching up, how many hours does he spend working in an entire week?


Reasoning and answer: Let W be equal to James’s raffle winnings. He donated half his winnings, so he had W - W / 2 = W / 2 left. He then spent $2 on a hot dog, so W / 2 - 2 = $55. Thus, half his winnings is W / 2 = 55 + 2 = 57. James won W = 57 * 2 = $114.
The answer: 114
What was the question?
Question: James won a money prize at a charity raffle. He donated half of his winnings back to the charity, then spent $2 on a hot dog to celebrate his win. He had $55 left over. How many dollars did he win?


There are 22 + 17 = 39 oranges in the second bucket. There are 39 - 11 = 28 oranges in the third bucket. There's a total of 22 + 39 + 28 = 89 oranges in the three buckets.
The answer: 89
Reverse engineering the question: There are three buckets full of oranges. There are 22 oranges in the first bucket, 17 more oranges in the second bucket and 11 fewer oranges in the third bucket than in the second. How many oranges are there in all the buckets?


Reasoning and answer: The total number of balls that she carried is 27 + 33 = 60. The percentage that represents the yellow balls is 27 / 60 * 100% = 45%.
The answer: 45
What was the question?
Question: Veronica, who is the team captain of their school football team, carried 27 yellow balls and 33 brown balls to the field for the team's matchday practice. What percentage of the balls that she carried were yellow?


The bigger sail will make the trip in 4 hours because 200 / 50 = 4. The smaller sail will make the trip in 10 hours because 200 / 20 = 10. The bigger sail will be 6 hours faster because 10 - 4 = 6.
The answer: 6
Reverse engineering the question: Danny is bringing his sailboat out to the ocean. When he uses his 24 square foot sail he goes 50 MPH. When he uses his 12 square foot sail he goes 20 MPH. He plans to travel 200 miles. How many hours faster is the bigger sail than the smaller one?


60 mph is 60 * 1.5 = 90 feet per second. 40 mph is 40 * 1.5 = 60 feet per second. Thus, for every second, the cheetah advances on the gazelle by 90 - 60 = 30 feet per second. To close on a distance of 200 feet, it would take the cheetah 210 / 30 = 7 seconds to catch the gazelle.
The answer: 7
Reverse engineering the question:
A cheetah can run at a top speed of 60 mph. The gazelle can run for speeds of up to 40 miles per hour. If one mile per hour is about 1.5 feet per second, then how many seconds would it take for a cheetah traveling at top speed to catch up to a fleeing gazelle also running at top speed if the two animals were initially 210 feet apart and they both traveled in the same direction?