[Question]In preparation for his mountain climbing, Arvin wants to run a total of 20 kilometers in a week. On the first day, he ran 2 kilometers. On each subsequent day, he increased his running distance by 1 kilometer over the previous day. If he runs for 5 days a week, how many kilometers did he run on the 5th day?
[Answer]On the second day, Arvin ran 2 + 1 = 3 kilometers. On the third day, he ran 3 + 1 = 4 kilometers. On the fourth day, he ran 4 + 1 = 5 kilometers. So on the fifth day, he ran 5 + 1 = 6 kilometers. The answer is 6.
Q: The kids in Ms. Swanson's class have an average of 5 zits each. The kids in Mr. Jones' class have an average of six zits each. If there are 25 kids in Ms. Swanson's class and 32 in Mr. Jones' class, how many more zits are there in Mr. Jones' class than in Ms. Swanson's?
A: First find the total number of zits in Mr. Jones' class: 6 zits / kid * 32 kids = 192 zits. Then find the total number of zits in Ms. Swanson's class: 5 zits / kid * 25 kids = 125 zits. Then subtract the number of zits in Ms. Swanson's class from the number in Mr. Jones' class to find the difference: 192 zits - 125 zits = 67 zits. The answer is 67.
Question: A factory produced televisions at a constant rate of 10 per day in a certain year. If they reduced the total production by 10 percent in the second year, calculate the total production of television by the factory in the second year.
Answer: Since a year has 365 days, the total television production in the first year is 10 * 365 = 3650. In the second year, they reduced the total television production by 10 / 100 * 3650 = 365. The total television production in the second year was 3650 - 365 = 3285. The answer is 3285.
[Question]A new movie gets released and makes $120 million in the box office for its opening weekend. It ends up making 3.5 times that much during its entire run. If the production company gets to keep 60%, how much profit did they make if the movie cost $60 million to produce?
[Answer]Over the movies run it made 120 * 3.5 = 420 million. So the production company made 420,000,000 * .6 = $252,000,000. So they got a profit of 252,000,000 - 60,000,000 = $192,000,000. The answer is 192000000.
Q: John builds a box. The box is 26 inches by 26 inches by 14 inches. The walls are 1 inch thick on each side. How much is the internal volume in cubic feet?
A: The walls take away 2 * 1 = 2 inches from each dimension. So the longer sides are 26 - 2 = 24 inches. That is 24 / 12 = 2 feet. The smaller dimension is 14 - 2 = 12 inches. That is 12 / 12 = 1 foot. So the internal volume is 2 * 2 * 1 = 4 cubic feet. The answer is 4.
Question: Conner has a dune buggy that he rides in the desert. On flat sand, it can ride at a speed of 60 miles per hour. When traveling on downhill slopes, it can race at 12 miles per hour faster than it can when it is on flat sand. And when riding on an uphill inclined slow, it travels at a speed 18 miles per hour slower than when it is riding on flat sand. If Conner rides his dune buggy one-third of the time on flat sand, one-third of the time on uphill slopes, and one-third of the time on downhill slopes, what is his average speed in miles per hour?
Answer:
12 mph faster than 60mph is 60 + 12 = 72 mph. 18 mph slower than 60 mph is 60 - 18 = 42 mph. If he spends 1 / 3 of the time at each of these three speeds, then he averages (60 + 72 + 42) / 3 = 58 mph. The answer is 58.