SOLUTION: A tortoise and a hare are competing in a 1600-meter race. The arrogant hare decides to let the tortoise have a 510-meter head start. When the start gun is fired the hare begins run

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Question 1126766: A tortoise and a hare are competing in a 1600-meter race. The arrogant hare decides to let the tortoise have a 510-meter 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 5 meters per second.
A)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.
B)Solve f(t)=0for t.
C)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.
D)Solve g(t)=0 for t
E) Who won the race?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+f%28t%29+=+1600+-+510+-+5t+
+f%28t%29+=+1090+-+5t+
+f%28t%29+=+0+
+1090+-+5t+=+0+
+5t+=+1090+
+t+=+218+ sec
-----------------------------
+g%28t%29+=+1600+-+9t+
+g%28t%29+=+0+
+1600+-+9t+=+0+
+9t+=+1600+
+t+=+177.78+ sec
The hare beat the tortoise by
+218+-+177.78+=+40.22+ sec