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Tortoise and Hare problem
    #14479512 -

A tortoise and hare are racing. The tortoise runs at a speed of 0.10m/s, and the hare 2.0m/s. During the race, the hare stops to take a nap for 2 minutes. The hare wakes up and proceeds to lose the race to the tortoise by 20cm.

a) How long did it take the tortoise to finish the race?

b) How long was the track?

Esplain your answer for :mushroom2::mushroom2::mushroom2::mushroom2::mushroom2:


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I dont know

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Re: Tortoise and Hare problem [Re: nasem]
    #14479538 -

solution: there was no track


problem? :maximumtrolling:


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EVERYTHING EVENTUALLY BECOMES A DESERT


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Re: Tortoise and Hare problem [Re: Salomon]
    #14479572 -




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Re: Tortoise and Hare problem [Re: 4runner]
    #14479600 -

Time is ~126.2 seconds, distance of track is ~12.6

I could be wrong though


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Don't smell the flowers, They're an evil drug to make you lose your mind

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Re: Tortoise and Hare problem [Re: pmb] * 1
    #14479615 -

time = 126.3 s
track = 12.6m

Explanation = do your own homework, kid.


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I'm The Douche, Doucher, His Royal Doucheness, or El Doucherino if you are not into that whole brevity thing.

Trade List : Wanted/have edible cultures, ethobotanicals, cool plants, cacti.

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Re: Tortoise and Hare problem [Re: El Douche] * 1
    #14479636 -

Tortise runs 0.1m/s*Ys = Xm

Hare runs 2.0m/s(Ys-120s)= Xm-0.02m Solve for

Solve both equations for x

2m/s*Ys-240m + .02m =Xm =0.1m/s*Ys

2m/s*Ys-240m + .02m =0.1m/s*Ys

Solve for Y

Y = 126.3s

Insert Y= 126.3 into Tortise equation and/or hare equation to get 12.6m


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I'm The Douche, Doucher, His Royal Doucheness, or El Doucherino if you are not into that whole brevity thing.

Trade List : Wanted/have edible cultures, ethobotanicals, cool plants, cacti.

Edited by El Douche (05/19/11 04:48 PM)

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Re: Tortoise and Hare problem [Re: nasem] * 1
    #14479639 -

nasem said:
A tortoise and hare are racing. The tortoise runs at a speed of 0.10m/s, and the hare 2.0m/s. During the race, the hare stops to take a nap for 2 minutes. The hare wakes up and proceeds to lose the race to the tortoise by 20cm.

a) How long did it take the tortoise to finish the race?

b) How long was the track?

Esplain your answer for :mushroom2::mushroom2::mushroom2::mushroom2::mushroom2:


Set it up as a system of equations.

The distance each travels,
Formula: 0

Formula: 1

Here we have two equations and four unknowns, so wee need two more equations.  These are had from the information given,

Formula: 2
Formula: 3

Now its just simple algebra that I will leave as a exercise for the reader.  :wink:

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