Solution

38759

First name
Mrs. Heffernan's Group. Shirlie, Caroline, Dillan
School
Paton School Shrewsbury MA
Age
10

If you play optimally these rules will work.

If the player gets to 10:45 you win!
If you go 15 min you get to 11:00 and it can do 1 hr.
If you go 30 min you get to 11:15 and it can do 45 min to win.
If you go 45 min you get to 11:30 and it can do 30 min to win.
If you go 1 hr you get to 11:45. and it can do 15 min to win.

If you get to 9:30 you will win.
We checked the 4 ways and then you can get to 10:45 for sure.

If you get to 8:15 you will win.
We checked the 4 ways and then you can get to 9:30

If you get to 7:00 you will win.
We checked the 4 ways and then you can get to 8:15