2022 CMWMC Guts Round 1/8 - Carnegie Mellon University Womens' Competition
Source:
August 12, 2023
CMWMCalgebrageometrycombinatoricsnumber theory
Problem Statement
Set 1
p1. Assume the speed of sound is m/s. Anastasia and Bananastasia are standing in a field in front of you. When they both yell at the same time, you hear Anastasia’s yell seconds before Bananastasia’s yell. If Bananastasia yells first, and then Anastasia yells when she hears Bananastasia yell, you hear Anastasia’s yell seconds after Bananastasia’s yell. What is the distance between Anastasia and Bananastasia in meters?
p2. Michelle picks a five digit number with distinct digits. She then reverses the digits of her number and adds that to her original number. What is the largest possible sum she can get?
p3. Twain is trying to crack a -digit number combination lock. They know that the second digit must be even, the third must be odd, and the fourth must be different from the previous three. If it takes Twain seconds to enter a combination, how many hours would it take them to try every possible combination that satisfies these rules?
PS. You should use hide for answers.