okay, so, since each room is 11 terrain long and there are 10 rooms, you gotta run 11x10=110 terrain.
each sprint lets you run at 1.6 t/s for 6.5s. using the formula D=RT, we can get
D=1.6x6.5
D=10.4, so each sprint gives you 10.4t of distance.
you must walk for 14.5s at 0.92t/s before being able to sprint again, so,
D=0.92x14.5
D=13.34t.
each cycle of sprinting->walking gives you 13.34+10.4=23.74t of distance, and it takes 6.5+14.5=21s.
to run 110t, you do a sprint->walk cycle 110/23.74 which is about 4.63. we cant just do 4.64x21. to run 110t, you perform 4 full cycles, which takes 4x21=84s. after 4 full cycles, you still have to travel 110-4x23.74=110-94.96=15.04t.
we must run 15.04t of distance as fast as possible, and that means spending as much time of it sprinting. since we know we ended the last cycle on walking, our sprint must be off cooldown, so we start the 15.04t sprinting. 15.04 is greater than 10.4 so we can fit a full sprint in, or 6.5s. now, we must walk the remaining 15.04-10.4=4.64t. plug that into the formula T=D/R
T=4.64/0.92
T is about 5.04.
add all the times up:
4 cycles: 84s
final sprint: 6.5s
last stretch walking; 5.04
84+6.5+5.04=95.54
So, optimally, it takes you about 95.5s to get back to the elevator. obviously, you cant always run optiomally, so we can add, lets say, 10 seconds of mistake time.
The timer should be 105 seconds. Sadly even optimally you cant reach the end under 1 minute, @yaypie
(yes I did all at math I love math MATHMATHAMTHAMTHMATH)