Jason drives 60 miles per hour * 0.5 hours = 30 miles initially. He needs to drive an additional 120 miles total - 30 miles driven = 90 more miles. He has 1.5 hours - 0.5 hours = 1 hour to drive the remaining distance. He must average 90 miles per hour to drive the remaining 90 miles in 1 hour.
The answer: 90
Reverse engineering the question: Jason has to drive home which is 120 miles away. If he drives at 60 miles per hour for 30 minutes, what speed does he have to average for the remainder of the drive to get there in exactly 1 hour 30 minutes?


Reasoning and answer: Since wants needs an 85 as an average and he takes five tests, he must have 85 * 5 = 425 total points. Currently he has 85 + 79 + 92 + 84 = 340 points. So for his fifth test he needs 425 - 340 = 85 points.
The answer: 85
What was the question?
Question: Jacob takes four tests in his physics class and earns 85, 79, 92 and 84. What must he earn on his fifth and final test to have an overall average of 85?


First take out the cost of the concessions. That leaves $76 - $12 = $64 for the movie tickets. Each child ticket costs $7, so two children's tickets cost $7 per child ticket * 2 child tickets = $14. To find the amount spent on adult tickets, subtract the cost of the children's tickets to get $64 - $14 = $50 for adult tickets. Divide $50 for adult tickets / 5 adults = $10 per adult ticket.
The answer: 10
Reverse engineering the question: Five adults and two children go to see a movie and buy $12 worth of concessions. The total cost of their trip is $76. If each child's ticket is $7, how much, in dollars, are the adult tickets?


Reasoning and answer: Alicia got 10 small boxed presents + 12 medium boxed presents = 22 presents. A third of all the presents Alicia gets are in large boxes, 22 / 2 = 11 is half of the presents we know Alicia got. 11 x 3 = 33 presents Alicia got on her birthday.
The answer: 33
What was the question?
Question: Alicia had a wonderful birthday party where she got lots of presents. 10 of the presents were in small boxes. 12 of the presents were in medium boxes. A third of all the presents she is given are in large boxes. How many presents did Alicia get for her birthday?


3 gold coins at 50 dollars a coin gives you 50 * 3 = 150 dollars. 5 silver coins at 25 dollars a coin give you 25 * 5 = 125 dollars. You have 30 + 125 + 150 = 305 dollars.
The answer: 305
Reverse engineering the question: A gold coin is worth 50 dollars and a silver coin is worth 25 dollars. If you have 3 gold coins, 5 silver coins, and 30 dollars cash, how much money do you have in dollars?


If the dog eats two eyes and Oomyapeck eats 22 eyes, then there are a total of 2 + 22 = 24 eyes. With 2 eyes per fish, 24 eyes represent 24 / 2 = 12 fish. If they split that number of fish equally amongst the three of them, then each of them will be given 12 / 3 = 4 fish to eat.
The answer: 4
Reverse engineering the question:
Ittymangnark and Kingnook are an Eskimo couple living in the most northern region of the Alaskan wilderness. Together, they live with their child, Oomyapeck. Every day Ittymangnark catches enough fish for the three of them to eat for the day and they split the fish equally between the three of them. But after they have split the fish, they give Oomyapeck all of the eyes, who gives two of the eyes to his dog and eats the rest himself. How many fish will each of them be given to eat if Oomyapeck eats 22 eyes in a day?