# Math Help - The Tortoise and the Hare

1. ## The Tortoise and the Hare

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

2. Originally Posted by monopolymilf420
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
I don't understand what's tough about this problem. You just use $x = vt + x_0$ a bunch of times. It just seems really tedious.

By the way that color kind of hurts my eyes..