Question: Ned is an explosives specialist racing to deactivate a time bomb on the top floor of a building. The building has twenty flights of stairs to the top floor, and Ned can run up one flight of stairs in eleven seconds. The time bomb has 72 seconds left on the timer, and Ned has spent 165 seconds running up the stairs. How many seconds will Ned have to diffuse the bomb when he reaches it?
Answer with step-by-step thinking: Ned has gone up 165 / 11 = 15 flights of stairs. Thus, he has 20 - 15 = 5 flights of stairs left to run up. He will spend 5 * 11 = 55 seconds running up the remaining stairs to the bomb. Therefore, he will have 72 - 55 = 17 seconds to defuse the bomb.
So the answer is 17.


Question: Nick has 35 quarters. 2/5 of the quarters are state quarters, and 50 percent of the state quarters are Pennsylvania. How many Pennsylvania state quarters does Nick have?
Answer with step-by-step thinking: State quarters:35(2 / 5) = 14 quarters. Pennsylvania:14(.50) = 7 quarters.
So the answer is 7.


Question: Paul lives in a 5th story apartment. He makes 3 trips out from and back to his apartment throughout the day each day of a week. How many feet does he travel vertically in total over the week if each story is 10 feet tall?
Answer with step-by-step thinking:
Since Paul makes 3 trips per day, and each trip involves going both down and up, this means he travels the full vertical distance of his apartment complex 3 * 2 = 6 times a day. Since there are 7 days in a week, this means he makes this trip 6 * 7 = 42 times a week. Since each story is 10 feet tall, that means with 5 stories he travels 5 * 10 = 50 feet each trip. Since he made 42 trips of 50 feet each, this means he traveled 50 * 42 = 2100 feet in a week.
So the answer is 2100.