Two vampires have come to the sleepy village of Willowton, population 300. Every night, each vampire turns 5 more people into vampires. How many vampires are there after two nights? Give the rationale and then the answer.
Let's think step by step. First find the number of new vampires after one night: 5 people / vampire * 2 vampires = 10 people. Add that to the starting number of vampires to find the total number of vampires after one night: 10 vampires + 2 vampires = 12 vampires. Then find the number of new vampires on the second night: 5 people / vampire * 12 vampires = 60 people. Add that number to the starting number of vampires on the second night to find the total number of vampires after two nights: 60 vampires + 12 vampires = 72 vampires.. The answer is: 72.

Matt and Tom both walk up the stairs of the library. Matt goes up the stairs 20 steps per minute. Tom goes up the stairs 5 steps per minute more than Matt. If Matt has reached 220 steps above the entrance, how many steps will Tom have gone up by that time? Give the rationale and then the answer.
Let's think step by step. Matt would have walked for 220 / 20 = 11 minutes. Tom would have gone up by 11 * 5 = 55 steps more. Tom would have gone up by 220 + 55 = 275 steps.. The answer is: 275.

The bald eagle can dive at a speed of 100 miles per hour, while the peregrine falcon can dive at a speed of twice that of the bald eagle. Starting from the same treetop, if it takes the bald eagle 30 seconds to dive to the ground, how long, in seconds, will it take the peregrine falcon to dive the same distance? Give the rationale and then the answer.
Let's think step by step. Twice the speed of the bald eagle is 100 * 2 = 200 miles per hour. Let "x" be the time in seconds it takes the peregrine falcon to travel to the ground. Thus, based on the ratio of their speeds, the following expression is given: x = 30 * (100 / 200). Thus, x = 15 seconds.. The answer is: 15.