[Question]Class A is twice as big as Class B. Class A is also a third the size of Class C. If Class B has 20 people in it, how many people are in Class C?
[Answer]Class A is twice the size of Class B, so Class A = 2 * size of Class B. If Class B has 20 people Class A has 20 * 2 = 40 people. Since Class A is also 1 / 3 the size of Class C then Class A = 1 / 3 * Class C. This means 40 = 1 / 3 * Class C. Thus the size of Class C is 3 * 40 = 120 people. The answer is 120.
Q: Trish likes to go for walks every day. One day, she goes on a 1-mile walk. Every subsequent day, she doubles the distance she walked the previous day. On what day does she walk more than 10 times further than she did on the first day?
A: Trish walks 1 mile on the first day, and since she walks double the previous day's amount each day that means she walks 1 * 2 = 2 miles the second day. On the following day, she walks double the distance of the previous day's total of 2 miles, meaning she walks 2 * 2 = 4 miles that day. On the following day, she walks double the distance of the previous day's total of 4 miles, meaning she walks 4 * 2 = 8 miles that day. On the following day, she walks double the distance of the previous day's total of 8 miles, meaning she walks 8 * 2 = 16 miles that day. As we're looking for the first day that her distance exceeds 10 times her original total, that means we're seeking a mile total of greater than or equal to 10 * 1 = 10 miles,. Since she accomplished this on the 5th day of walking, the answer is 5. The answer is 5.
Question: Tamika drove for 8 hours at an average speed of 45 miles per hour. Logan drove for 5 hours at 55 miles an hour. How many miles farther did Tamika drive?
Answer: Tamika drove 8 hours * 45 mph = 360 miles. Logan drove 5 hours * 55 mph = 275 miles. 360 - 275 = 85 miles. Tamika drove 85 miles farther. The answer is 85.
[Question]The space station, Lupus-1, is an enormous spacecraft made up of three identical cylindrical structures that house the living quarters for the crew. The three cylindrical structures are linked together by a series of tunnels that hold them together and allow the crew to move between cylinders. Each cylindrical structure contains 12 bedrooms, 7 bathrooms, and several kitchens. If the entire space station has 72 rooms, how many kitchens are there on the entire space station?
[Answer]If there are 3 identical cylindrical structures, with a combined total of 72 rooms, then each individual cylindrical structure contains 72 / 3 = 24 rooms. In each 24 - room cylindrical structure, there are 24 - 12 - 7 = 5 kitchens. Thus, the entire, three - cylinder space station contains a total of 3 * 5 = 15 kitchens. The answer is 15.
Q: 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?
A: 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.
Question: Terry's mom brought home 4 different colored dogs from the shelter. The brown dog weighs 4 pounds. The black dog weighs 1 pound more than the brown dog. The white dog weighs twice as much as the brown dog. The grey dog weighs 2 pounds less than the black dog. What's the average weight of all the dogs?
Answer:
Since the black dog weighs 1 pound more than the brown dog, the black dog weighs 1 + 4 = 5 pounds. The white dog weighs 4 * 2 = 8 pounds. Because the grey dog weighs 2 pounds less than the black dog, the grey dog weighs 5 - 2 = 3 pounds. The total weight of all dogs is 4 + 5 + 8 + 3 = 20 pounds. The average weight of all the dogs is 20 / 4 = 5 pounds. The answer is 5.