Reasoning and answer: Mr. Montero is traveling a total distance of 600 miles + 600 miles = 1200 miles. There are 1200 miles / 400 miles = 3 sets of 400 miles in 1200 miles. So Mr. Montero needs 20 gallons / set x 3 sets = 60 gallons in all. Since his car has 8 gallons already, then he needs to add 60 gallons - 8 gallons = 52 gallons more.
The answer: 52
What was the question?
Question: A car uses 20 gallons of gas to travel 400 miles. Mr. Montero's car has 8 gallons in it. How many more gallons of gas does he need to travel 600 miles, back and forth?


In a day, John uses 75x 8 = 600 watts. So in a month, he uses 600 x 30 = 18 000 watts. Since there are 1000 watts in 1 kilowatt, then John uses 18000 / 1000 = 18.
The answer: 18
Reverse engineering the question: John uses a 75-watt electric fan for 8 hours a day. How much kWh of electric energy does he consume per month (30 days) for using the electric fan?


Reasoning and answer: James earns 20 * .2 = $4 less while working his second job. So he earns 20 - 4 = $16 an hour. At his first job he earns 20 * 30 = $600. He works 30 / 2 = 15 hours at his second job. So he earns 15 * 16 = $240. So he earns 600 + 240 = $840 a week.
The answer: 840
What was the question?
Question: James earns $20 an hour while working at his main job. He earns 20% less while working his second job. He works 30 hours at his main job and half that much at his second job. How much does he earn per week?


If Sid attended four times as many college courses as Max, he attended 4 * 40 = 160 college courses. The total of college courses they both attended is 160 + 40 = 200.
The answer: 200
Reverse engineering the question: Max attended 40 college courses in 2 years. Sid attended four times as many college courses as Max in the same period. What's the total of college courses they both attended?


Reasoning and answer: There are 8 tiles along the width and 20 tiles along the height for a total of 8 * 20 = 160 tiles. Each wall has 160 tiles and there are 3 walls so there are 160 * 3 = 480 tiles in the shower.
The answer: 480
What was the question?
Question: Each wall of a 3 sided shower has 8 tiles running the width of the wall and 20 tiles running the height of the wall. How many tiles are in the shower?


Reasoning and answer: If James only missed one question in all five rounds of five questions, he correctly answered 5 * 5 - 1 = 24 questions. Before the bonus, James earned 24 correct answers * 2 points / answer = 48 points. Since missing one question would only disqualify him from receiving a bonus in one round, he would earn a bonus for 5 - 1 = 4 rounds. He should expect a bonus of 4 rounds * 4 points / round = 16 points. Including his bonus, James scored a total of 48 + 16 = 64 points.
The answer: 66
What was the question?
Question:
Students at Highridge High earn 2 points for each correct answer during a quiz bowl If a student correctly answers all the questions in a round, the student is awarded an additional 4 point bonus. They played a total of five rounds each consisting of five questions. If James only missed one question, how many points did he get?