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Math Help - The Tortoise and the Hare

  1. #1
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    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
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  2. #2
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    Quote Originally Posted by monopolymilf420 View Post
    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..
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