A speedy tortoise can run at .01 meters per second, and the hare can run 21 times as fast. I. A race they start at the same time, but the hare stops for 1.5 minutes so the tortoise wins by a shell(20cm).

Question

A speedy tortoise can run at .01 meters per second, and the hare can run 21 times as fast. I. A race they start at the same time, but the hare stops for 1.5 minutes so the tortoise wins by a shell(20cm).
How long is the race? 
How long is the path?

drwls · Answer

Let T be the duration of the race (seconds) and X be the distance traveled to the finish line (cm).
1* T = X (distance traveled by tortoise)
21(T - 90) = X - 20 (distance traveled by hare)

First eliminate X by substitution.
21 T - 1890 = T - 20
20 T = 1870
T = 93.5 seconds
X = T = 93.5 cm