0
Solution:
Tortoise travels at 12 so T_v*time = Distance
Hare travels at 240 so H_v*(time - 240 seconds) = Distance - 35cm or Distance = H_v*(time - 240 seconds)+35cm
Set them equal to each other and solve for "time". Then multiply time and the T_v to find the length of the race.
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The tortoise is traveling at 12 cm/sec and the hare at 240 cm/sec. When the tortoise has run for the time T in seconds, the values produce the equation
12 T = 240 (T-240) +35
Solving for T
240 T - 57600 + 35 = 12T
228 T = 57565
T = 252.478 seconds for the tortoise, traveling about 30.3 meters (3029.736 cm)
Tortoise 12 x 252.478 = 3029.736 cm
Hare 240 x 12.478 = 2994.720 cm (only runs 12.5 seconds, comes up short)
Tortoise wins by 35.016 cm
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