[Question]Joseph drives his car at 50 mph for 2.5 hours. Kyle drives his car at 62 mph for 2 hours. How many more miles does Joseph drive than Kyle?
[Answer]Joseph travels for 50 * 2.5 = 125 miles. Kyle travels for 62 * 2 = 124 miles. Joseph drives for 125 - 124 = 1 mile more than Kyle. The answer is 1.
Q: Jim is a maintenance worker at a pool. Every time someone jumps in the pool, they cause 400 ml of water to splash out and evaporate. Jim has to get everyone out of the pool, clean, and refill it when it gets below 80% full. If the pool holds 2000 L of water, how many times can people jump in the pool before Jim has to clean it?
A: First figure out how many liters of water are left in the pool when it's 80% full: 2000L * .8 = 1600 L. Now subtract that amount from the pool's total capacity to find how much water can splash out before Jim has to refill it: 2000 L - 1600 L = 400 L. Now multiply that amount by 1000 to convert it to milliliters: 400 L * 1000 ml / L = 400,000 ml. Finally, divide that amount by the amount that splashes out with each jump to find the number of jumps before pool cleaning: 400,000 ml / 400 ml / jump = 1000 jumps. The answer is 1000.
Question: Peggy buys 3 folders, one each in the colors red, green, and blue. She puts ten sheets of paper in each folder, and then, she puts star-shaped stickers on each sheet of paper. In the red folder, each sheet of paper gets 3 stickers. In the green folder, each sheet of paper gets 2 stickers, and in the blue folder, each sheet gets 1 sticker. What is the total number of stickers Peggy uses?
Answer: For the red folder, 10 sheets of paper get 3 stickers each, for a total of 10 * 3 = 30 stickers. For the green folder, 10 sheets of paper get 2 stickers each, for a total of 10 * 2 = 20 stickers. For the blue folder, 10 sheets of paper get 1 sticker each, for a total of 10 * 1 = 10 stickers. In total, she uses 30 + 20 + 10 = 60 stickers. The answer is 60.
[Question]The total number of books on four shelves, with 400 books each, is the same as the distance in miles that Karen bikes back to her home from the library. Calculate the total distance that Karen covers if she bikes from her home to the library and back.
[Answer]If each shelf has 400 books, then the four shelves have 4 * 400 = 1600 books. Since the total number of books on the shelves is the same as the distance that Karen bikes back home, biking to and from the library takes 1600 + 1600 = 3200 miles. The answer is 3200.
Q: A 220-liter barrel has a small leak. It lost 10% of its contents before anyone noticed. How many liters are left in the barrel?
A: The barrel lost 220 * 10 / 100 = 22 liters before anyone noticed. So, 220 22 = 198 liters are left in the barrel. The answer is 198.
Question: Darrel is an experienced tracker. He can tell a lot about an animal by the footprints it leaves behind. One day he saw a set of coyote footprints. Based on the impressions, he could tell the animal was traveling east at 15 miles per hour, and that the animal left the prints 1 hour ago. If the coyote continues to travel east at 15 miles per hour, and Darrell hops on his motorbike and travels east at 30 miles per hour, how long, in hours, will it take for Darrel to catch up to the coyote?
Answer:
If we let x be the amount of time, in hours, it will take for Darrel to catch up to the coyote, then we can figure this out. Because the distance Darrel travels is defined as the length of time Darrel travels (x) and Darrel's speed (20mph), or the expression 2 * x. And the distance the coyote travels is defined as the length of time the coyote travels (x + 1 hour) and the coyote's speed (15 mph), or the expression (x + 1) * 1. And since the distance Darrel and the coyote travel is the same, then 2 * x = (x + 1) * 1. Simplifying the expression, we get 2 * x = x + 1. If we subtract 1 x from each side, we get x = 1, the amount of time in hours. The answer is 1.