the tortoise and the hare have their long awaited rematch. the tortoise gets a 1000 foot lead and runs at 9 inches (.75ft) per second. the hare begins at the starting line and runs at a rate of 6 ft per second. There is also a rat in the race, he starts at 1200 feet ahead of the hare and runs back towards the starting like at a rate of 2 feet per second.
-when will the tortoise and the hare pass each other and how far will they be from the starting line?
-when will the tortoise and the rat pass each other and how far will they be from the starting line?
-when will the rat and the hare pass each other and how far will they be from the starting line?
-after one minute in to the race how far will each runner be?
-when will the rat cross the starting line?
-if the race is a quarter mile long who will win and what will be the time and distance of victory?
this is a very tough problem!
good luck


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