My bike has had a flat tire for longer than I’d care to admit, so I’ve been commuting recently by foot and by bus. This leaves me with plenty of time to think, but mostly just thoughts about walking and/or taking the bus.
If you’ve spent time waiting for erratically-timed buses, you know this question well: Will I get there faster if I continue waiting or if I start walking? You can look to recent literature in recreational mathematics for some general guidance on this dilemma [1] [2]. But while waiting may pay off for the lazy mathematician, I like to get some exercise in the process. So here’s a twist on the problem: How far can I walk without missing the next bus? I’ll propose three practical solutions…
