A tortoise and a hare are competing in a 2000-meter race. The arrogant hare decides to let the tortoise have a 820-meter head start. When the start gun is fired the hare begins running at a constant speed of 7.5 meters per second and the tortoise begins crawling at a constant speed of 4.5 meters per second.
a. Write an expression in terms of t that represents the hare's distance from the starting line (in meters)
b. Write an expression in terms of t that represents the tortoise's distance from the starting line (in meters).
c. Write an expression in terms of t that represents the number of meters the tortoise is ahead of the hare.