Reasoning and answer: After 56 minutes, the second runner has traveled 56 / 7 = 8 miles. Similarly, the first runner has traveled 56 / 8 = 7 miles. Therefore, the two runners are 8 - 7 = 1 mile apart when the second runner stops. Thus, the second runner can stop for a maximum of 8 minutes, which is the amount of time it takes the first runner to travel 1 mile.
The answer: 8
What was the question?
Question: Two runners are competing in a 10-mile race. The first runs at an average pace of 8 minutes per mile, while the second runs at an average pace of 7 minutes per mile. After 56 minutes, the second runner stops for a drink of water. For how many minutes could the second runner remain stopped before the first runner catches up with him?
Manny will eat 1 piece. Aaron will eat 0 pieces. Kai will eat twice as much as Manny, so he will eat 2 * 1 = 2 pieces. Raphael will eat half as much as Manny, so he will eat 1 * 1 / 2 = 1 / 2 piece. Lisa will eat 2 pieces plus the remainder of Raphael's piece, so she will eat 2 + 1 / 2 = 2 1 / 2 pieces. Together, they will eat 1 + 0 + 2 + 1 / 2 + 2 1 / 2 = 1 + 2 + 3 = 6 pieces. Thus, Manny should cut his lasagna into 6 pieces.
The answer: 6
Reverse engineering the question: Manny is making lasagna for dinner with his four friends, Lisa, Raphael, Aaron, and Kai. He needs to know how many pieces to cut the lasagna into to serve it. Manny only wants one piece. Aaron doesn't like lasagna much and will probably only eat garlic bread and salad. Kai is always hungry and will eat twice as much as Manny. Raphael always eats half the amount Manny does, but his sister Lisa loves lasagna and will eat two pieces, plus any Raphael has left of his piece. How many pieces should Manny cut his lasagna into?
Reasoning and answer: Marnie has already eaten 5 of the chips + 5 more = 10 chips Marnie ate. The bag has 100 chips in it and Marnie has only eaten 10, 100 - 10 = 90 chips left. If Marnie eats 10 chips a day starting from the second day she has them, it will take her 90 chips in the bag / 10 chips Marine eats a day = 9 days to eat the whole bag. However, Marnie also ate chips on the first day she bought them, so 9 + 1 = 10 days to eat the whole bag.
The answer: 10
What was the question?
Question: Marnie opens a bag of chips and eats 5 of them to see if she likes them. She does, so she eats 5 more. The bag has 100 chips in it and starting on the second day she has them, Marnie eats 10 each day. How many days does it take for Marnie to eat the whole bag of chips?
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
Reverse engineering the 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?
Reasoning and answer: If Rehana is currently 25 years old, she will be 25 + 5 = 30 in five years. Rehana will be three times as old as Phoebe in five years, meaning Phoebe will be 30 / 3 = 10 years old in five years. Currently, Phoebe is 10 - 5 = 5 years old. 3 / 5 of Phoebe's age now is 3 / 5 * 5 = 3 years, which is Jacob's age.
The answer: 3
What was the question?
Question: In five years, Rehana will be three times as old as Phoebe. If Rehana is currently 25 years old, and Jacob, Rehana's brother, is 3/5 of Phoebe's current age, how old is Jacob now?
Reasoning and answer: There are a total of 20 single - page spreads * 2 = 40 double - page spreads. As these are made up of 2 pages each, there are 40 double - page spreads * 2 pages = 80 pages in the double - page spreads. In total, there are 20 single - pages + 80 double - pages = 100 pages in the spreads. A block of ads is printed every 4 pages, so there will be 100 pages / 4 pages / block = 25 blocks of ads. This is a total of 25 blocks * 4 ads = 100 ads. As each ad takes up a quarter of a page, this must create an additional 100 ads * 0.25 = 25 pages. Therefore, the press has printed 100 pages from the spreads + 25 pages of ads = 125 pages. Since brochures are made up of 5 pages each, this creates a total of 125 pages / 5 = 25 brochures.
The answer: 25
What was the question?
Question:
A printing press is printing brochures. The press prints 20 single-page spreads, and twice as many double-page spreads. For each 4 pages printed for the spreads, the press prints a block of 4 ads, each of which take up a quarter of a page. The brochures can be arranged in any order as long as they are made up of 5 pages each. How many brochures is the printing press creating?