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

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) (Show Source): You can put this solution on YOUR website!

sec
-----------------------------

sec
The hare beat the tortoise by
sec

RELATED QUESTIONS
A tortoise and a hare are competing in a 1600-meter race. The arrogant hate decides to... (answered by Theo)

A tortoise and a hare are competing in a 2000-meter race. The arrogant hare decides to... (answered by josmiceli)

A tortoise and a hare are competing in a 1200-meter race. The arrogant hare decides to... (answered by Boreal)

A tortoise and a hare a having a race. The tortoise moves at 4 miles per hour. The hare... (answered by josgarithmetic)

a tortoise and a hare decide to reenact the fabled race between their species, but this... (answered by stanbon)

The hare challenged the tortoise to a race from the water fountain to the park bench. In... (answered by ankor@dixie-net.com)

The fable about the tortoise an the hare? what? lol (math)? hello this is a math... (answered by rothauserc,robertb)

A speedy tortoise can run at 0.15 m/s, and a hare can run 16 times as fast. In a race,... (answered by Boreal)

A tortoise and a hare have joined a 360-foot race. Since the hare can run 180 times... (answered by ikleyn,josgarithmetic)