1. its better to rest on the walkway - not seeing any disagreement about this one. 2. its better to run off the walkway. Why? Walking normally is more expe

1. its better to rest on the walkway - not seeing any disagreement about this one. 2. its better to run off the walkway. Why? Walking normally is more expensive (in terms of time required to cover N distance) than walking on the walkway. The question can be rephrased as, all things considered, "would you rather spend less time on the walkway or the ground?" You would rather spend less time on the ground, because it takes you more time to cross it. Naive proof: your normal speed is 1m/s, run speed is 2m/s (can be done for 1s), walkway moves at 1m/s. Track is: 2m of ground, 6m of walkway. Running on walkway: 2s to cover ground, 1s to cover first 3 meters of walkway running, 1.5s to cover last three meters = 4.5s. Running on ground: 1s to cover ground, 3s to cover walkway = 4s. Look at it this way: the normal (no-run) time is 5s. Running on the ground chops off an entire second; running off the walkway chops off only half a second.