Tamika drove 8 hours * 45 mph = 360 miles. Logan drove 5 hours * 55 mph = 275 miles. 360 - 275 = 85 miles. Tamika drove 85 miles farther.
The answer: 85
Reverse engineering the question: Tamika drove for 8 hours at an average speed of 45 miles per hour. Logan drove for 5 hours at 55 miles an hour. How many miles farther did Tamika drive?


Reasoning and answer: His total score is 27 because (3 x 2) + (4 x 3) + 4 + 5 = 27. His total number of grades is 9 because 3 + 4 + 1 + 1 = 9. His average grade is a 3 because 27 / 9 = 3. He earns $15 because 5 x 3 = 15.
The answer: 15
What was the question?
Question: Milo's parents tell him that he can win cash rewards for good grades. He will get $5 times the average grade he gets. He gets three 2s, four 3s, a 4, and a 5. How much cash does he get?


The total cost of the dictionary, the dinosaur book, and the cookbook is $5 + $11 + $5 = $21. Emir needs $21 − $19 = $2.
The answer: 2
Reverse engineering the question: Emir wants to buy a dictionary that costs $5, a dinosaur book that costs $11, and a children's cookbook that costs $5. He has saved $19 from his allowance. How much more money does Emir need to buy all three books?


Reasoning and answer: He has to cook 115 hamburgers and has already cooked 40 so he needs to cook 115 - 40 = 75 more hamburgers. He can only cook 15 hamburgers at a time so that means he has to cook 75 / 15 = 5 more cooking sessions.
The answer: 5
What was the question?
Question: Ronald can grill 15 hamburgers per session on his new grill. He needs to cook 115 hamburgers in total for tonight's party. He has already cooked 40 hamburgers. How many more sessions will it take Ronald to finish cooking all 115 hamburgers?


There were 60 guests / 2 = 30 women at my mother's birthday celebration. There were 30 women + 15 men = 45 men and women. So, 60 people - 45 men and women = 15 were children. Then, 15 men / 3 = 5 men left. Thus, 5 men + 5 children = 10 people left. Therefore, 60 people - 10 people = 50 people stayed and enjoyed the birthday celebration.
The answer: 50
Reverse engineering the question: My mother celebrated her birthday with a total of 60 guests. Half of the guests are women, 15 are men, and the rest are children. In the middle of the celebration, 1/3 of the men and 5 children left. How many people stayed and enjoyed the birthday celebration?


If all 3 stoplights are red, the first route will take 10 + 3 * 3 = 19 minutes. Thus, the first route will take 19 - 14 = 5 minutes longer than the second route.
The answer: 5
Reverse engineering the question:
A man is returning home from work and trying to decide which route to take. His first route option includes 3 stoplights. This route will take him 10 minutes if all three lights are green, but each light that is red will add 3 minutes to the trip. The second route does not include any stoplights and takes 14 minutes. If the man chooses the first route, how much longer will his trip be if all 3 stoplights are red?