If Abel needs to travel 1000 miles going 50 miles per hour, this means it will take him 1000 / 50 = 20 hours to get there. If Alice needs to travel 1000 miles going 40 miles per hour, this means it will take her 1000 / 40 = 25 hours to get there. Since there are 60 minutes in an hour, this means it will take Abel 20 * 60 = 1200 minutes to arrive. Similarly, this means it will take Alice 25 * 60 = 1500 minutes to arrive. This means Abel arrives 1500 - 1200 = 300 minutes before Alice if they both leave simultaneously. However, since Abel had a head start of 1 hour, which is 60 minutes, this means Abel arrives 300 + 60 = 360 minutes ahead of Alice.
The answer: 360
Reverse engineering the question: Abel leaves for a vacation destination 1000 miles away driving 50 miles per hour. An hour later Alice leaves from the same point for the same destination, traveling 40 miles per hour. How much earlier does Abel reach the destination in minutes??


Reasoning and answer: Kelsey answered 35 + 8 = 43 correctly. Martin answered 43 - 3 = 40 correctly.
The answer: 40
What was the question?
Question: On a quiz, Martin answered three fewer questions correctly than Kelsey, and Kelsey answered eight more questions correctly than Campbell. If Campbell answered 35 questions correctly, how many did Martin answer correctly?


If there were four rows of twenty gold bars arranged in the safe, the total number of bars in the safe is 4 * 20 = 80 bars. Since each gold bar is worth $20000, the 80 bars are worth 80 * $20000 = $1,600,000.
The answer: 1600000
Reverse engineering the question: Sam bought a heavy safe with a combination lock. There were four rows with twenty gold bars per row arranged in the safe. If each gold bar is worth $20000, calculate the total worth of the gold bars in the safe.


Reasoning and answer: Since the angles in a triangle adds up to 180, and A is 40 degrees, B and C have a total of 180 - 60 = 120 degrees. Since B is two times bigger than C, the total of the angles of B and C is equal to 2C + C = 120. 3C = 120. The angle of C is C = 120 / 3. C is 40. Since B is two times as big as C, B is 2 * 40 = 80 degrees.
The answer: 80
What was the question?
Question: In a triangle with angles A, B, and C, A is 60 degrees, and B is two times as big as C. Calculate the angle of B.


Two boxes of pizza amount to $12 x 2 = $24. Two packs of juice amount to $2 x 2 = $4. Victoria paid a total of $24 + $4 = $28. Hence, she should return the $50 - $28 = $22 to her mother.
The answer: 22
Reverse engineering the question: Victoria was given a $50 bill by her mother to buy her friends snacks for their group meeting. She bought 2 boxes of pizza that costs $12 each and 2 packs of juice drinks that cost $2 each. How much money should Victoria return to her mother?


There were 45 / 3 = 15 beakers tested to find all the beakers with copper ions. Thus, 15 - 8 = 7 beakers without copper ions were tested.
The answer: 7
Reverse engineering the question:
A laboratory has 22 beakers of liquid in a fume hood, and 8 of the beakers have copper ions in them. Adding three drops of a solution will turn the liquid in a beaker blue if there are copper ions present. If the beakers are tested one by one for copper ions and 45 drops are used before all 8 beakers with copper ions are found, how many beakers without copper ions were tested?