Question

You can see your house just 100 meters away from you. You are walking at a slow and steady pace of 1 meter/sec. Therefore after one second, you are 99 meters from your house. At the end of another second, the sidewalk stretches another 100 meters. That scenario keeps repeating. How long will it take to arrive home?

Answer 1

Never? (unless I misread that horribly).

Answer 2

suppose the path is d meters long, with a meters ahead of you, and b meters behind you. If the path stretches uniformly by c meters, how much of the path is now behind you?