Spoiler for

From the problem statement, we get that Alice takes 8:01 for any complete

mile in the course [0.00 to 1.00, 0.10 to 1,10, ..., 25.2 to 26.2]. Therefore at

the end of

- 1 mile her time should be 8.017 min [8:01].

- 26 miles her time should be 208.43 min [208:26]

- 26.2 miles her time should be 210.04 min [210:02]

While Bob's time should be 209.60 [209:36]

The only way for her to win is if she can speed up the last fraction of

a mile [where there are no more race markers] such that she can make up the

difference -- * is this possible?? *[this is a math problem, not a

realistic athletic question].