First find 1 / 3 of the distance Jenny's bottlecap went straight: 18 feet / 3 = 6 feet. Then add that to the distance it flew straight to find the total distance it traveled: 6 feet + 18 feet = 24 feet. Then find twice the distance Mark's bottlecap went straight: 15 feet * 2 = 30 feet. Then add that distance to the distance it flew straight to find the total distance it traveled: 30 feet + 15 feet = 45 feet. Then subtract the distance Jenny's bottlecap traveled from the distance Mark's traveled to find the difference: 45 feet - 24 feet = 21 feet.
The answer: 21
Reverse engineering the question: Jenny and Mark are throwing bottle caps. Jenny's bottlecap flies 18 feet straight, then bounces off a street light and flies another 1/3 of the distance it already went. Mark's bottle cap flies 15 feet forward, then bounces off a window and flies twice as far as it already did. How much further did Mark's bottle cap go than Jenny's?
Reasoning and answer: He played for 2 * 12 = 24 minutes. He gets 2 * 2 = 4 points per minute from the two - point shots. So he scores 4 + 3 = 7 points per minute. There are 24 / 4 = 6 intervals. So he scores 7 * 6 = 42 points.
The answer: 42
What was the question?
Question: John scores 2 shots worth 2 points and 1 shot worth 3 points every 4 minutes. He plays for 2 periods. Each period is 12 minutes. How many points does he score?
In the morning he travels at an average speed of 30mph for 1 hour so he covers a distance of 30 * 1 = 30 miles. He covers the same distance of 30 miles in the evening spending 1.5 hours so his average speed must be 30 / 1.5 = 20mph.
The answer: 20
Reverse engineering the question: Mr. Maxwell takes 1 hr to drive to work in the morning but 1 and half hours to drive back home in the evening. If the morning and evening traffic is similar and he drives at an average speed of 30mph in the morning, what is the average speed of his return journey?
Reasoning and answer: There are 70 / 7 = 10 weeks in 70 days. So he takes 10 * 3 = 30 naps. That means he naps for 30 * 2 = 60 hours.
The answer: 60
What was the question?
Question: John takes 3 naps a week. Each nap is 2 hours long. In 70 days how many hours of naps does he take?
First find the total number of points Marcus scored through 3 - point goals: 5 goals * 3 points / goal = 15 points. Then find the total number of points he scored through 2 - point goals: 10 goals * 2 points / goal = 20 points. Then add those amounts to find the total number of points Marcus scored: 15 points + 20 points = 35 points. Finally, divide that number by the team's total number of points and multiply by 100% to find the percentage of points Marcus scored: 35 points / 70 points * 100% = 50%.
The answer: 50
Reverse engineering the question: Marcus scored 5 3-point goals and 10 2-point goals. If his team scored 70 points overall, what percentage of the team's total points did Marcus score?
Adam has a total of 50 balls - 20 red - 10 blue = 20 pink and orange balls combined. If we let x be the total number of orange balls, we know that 3x is the number of pink balls. Therefore, 20 balls = x + 3x = 4x. The number of orange balls, x, is 20 balls / 4 = 5 balls.
The answer: 5
Reverse engineering the question:
Adam has 50 balls. 20 balls are red, 10 are blue, and the rest are either pink or orange. If there are 3 times as many pink as orange balls, how many orange balls are there?