- #1
walking
- 73
- 8
Here is the official solution:
I don't understand this solution. Firstly why can the author assume wlog that slower runner ran exactly 1 mile? Secondly, if 3.3ft is indeed the max error then worst case scenario is that first runner's track was 3.3 below actual length and 2nd was 3.3 over actual length. Then first runner ran ~22.166 ft/s and 2nd runner ran 22.18 ft/s which is faster. So it seems we cannot guarantee that 1st runner was indeed faster if error = 3.3?
Actually I'll be honest: I'm not sure I fully understand the problem statement.