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