1112.2: Walking Home
Brittany Baysan ‘15 volunteers every Thursday somewhere off campus. Most Thursdays, she finishes work and her roommate picks her up precisely at 5pm. One recent week, though, Brittany finished work at 4pm on an unusually warm winter day. Instead of calling her roommate to pick her up early, Brittany decided to walk back to Hamilton along the route her roommate drives to pick her up. Her roommate left at her usual time, found Brittany along the road, stopped to get her, and turned around and headed back to the dorm as usual. They arrived on campus exactly ten minutes earlier than normal. You do not know the location of Brittany’s workplace, its distance from campus, how fast Brittany walks or how fast her roommate drives. Assume that her roommate drives at a constant velocity and neglect any time for stopping or turning around.
How long did Brittany walk from work until her roommate picked her up?
Solutions to Puzzle #1112.2: Walking Home, including an explanation of your answer, may be sent to firstname.lastname@example.org, or, via campus mail, to Russell Marcus, Philosophy Department. Make sure to include your contact information, including class year, with your solution. A winner will be chosen among those who submit satisfactory solutions. Any one may play the puzzle, but only current Hamilton College students may win prizes.
Prize winners receive a t-shirt or mug from Lulasail, home of the best philosophy t-shirts on the web.
The Deadline for Puzzle #1112.2: Walking Home is Monday, March 5, at 4pm.