Question: a tortoise and a hare are competing in a 2000meter...
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A tortoise and a hare are competing in a 2000meter race. The arrogant hare decides to let the tortoise have a 510meter head start. When the start gun is fired the hare begins running at a constant speed of 9 meters per second and the tortoise begins crawling at a constant speed of 6 meters per second.

Define a function f to represent the tortoise's distance from the finish line (in meters) in terms of the number of seconds t since the start of the race.
f(t)=

Solve f(t)=0 for t.
t=

Define a function g to represent the hare's distance from the finish line (in meters) in terms of the number of seconds t since the start of the race.
g(t)=

Solve g(t)=0 for t.
t=

Who won the race?