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Geek Culture / Algebra thing

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kenny15
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Posted: 22nd Feb 2004 21:09
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Here it is

My nephew Mitch loves to run. Recently he participated int he Midtown Mini-Marathon, a road race in a small Kansas town near where he lives.

During the race, he paced himself in the following way:

He ran the first 50% of the distance at his normal running speed.
For the next third of the distance he increased his speed by 25%
For the final 3km of the race he again incrased his speed, this time by 20%

Given that he finished the race in 1 hour and 19 minutes, what is his normal running speed in kilometers per hour.

Could someone give an answer and an explanation on how you got it?

On the website it says his average speed was 12km/hour

Thanks

Giant hampsters will rain and take control of your pitiful town.
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Martyn Pittuck
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Posted: 22nd Feb 2004 21:28
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all i can say is LOL

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kenny15
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Posted: 22nd Feb 2004 21:32
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its the same one you helped my brother with..RPGamer

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AluminumPork
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Posted: 22nd Feb 2004 21:32
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Umm... is this a math question from class that you can't figure out? heh, well, I'm no help in Math. But good luck!

P4 2.4Ghz HT, 512MB RAM, ATI Radeon 9600 128MB, 19" Viewsonic, 80GB HD

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kenny15
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Posted: 22nd Feb 2004 21:33
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thanks a lot

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John H
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Posted: 22nd Feb 2004 21:35
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Seriously need help


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kenny15
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Posted: 22nd Feb 2004 21:50
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Martyn Pittuck
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Posted: 22nd Feb 2004 22:11
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okay, first we need the total distance:

50% + 1/3 = 5/6

The final leg (1/6 of the total) was 3km, so:

3 * 6 = 18km

SO

1st Leg = 9km
2nd Leg = 6km
3rd Leg = 3km

ok then...

speed = distance / time.

As we know the time is 1hour 19minutes, so total time is 79minutes.

time = distance / speed

total time = 79 = [ 9 / speed ] + [ 6 / (speed * 1.25) ] + [ 3 / (speed * 1.5) ]

79 = [9/s] + [6/(1.25s)] + [3/(1.5s)]

with s = 12:

9/12 = 0.75

6/(1.24 * 12) = 0.4

3/(1.5 * 12) = 1/6

0.75 + 0.4 + 1/6 = 1.316666

1.316666 * 60 = 79

so now u have the answer can u figure out how i did it? I cant, but i am in the top 5% of the UKs mathmatical population, so i dont need to give explinations.

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kenny15
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Posted: 22nd Feb 2004 22:18
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oooooook but howd you get 12

without me telling you

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kenny15
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Posted: 22nd Feb 2004 22:27
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please i need help

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Martyn Pittuck
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Posted: 22nd Feb 2004 22:38
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the cheek of it, i worked it out myself, see the other post!

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Martyn Pittuck
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Posted: 22nd Feb 2004 22:44
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anyhow, i will have a got at working it out using algebra

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kenny15
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Posted: 22nd Feb 2004 22:53
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with s = 12:

where did you get 12

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Martyn Pittuck
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Posted: 22nd Feb 2004 22:56
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i have no idea, i got the number out of thin air!

anyway

3 + 2 + 1
5 + 4 + 6

i think thats where i got it from.

Anyhow, not going to help anymore

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John H
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Posted: 23rd Feb 2004 03:14
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Well we finally figured it out, actually my dad did Thanks for all your guys help...thats probably the last youll see of my brother around here


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HZence
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Posted: 23rd Feb 2004 05:50
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Quote: "so now u have the answer can u figure out how i did it? I cant, but i am in the top 5% of the UKs mathmatical population, so i dont need to give explinations."


You're obviously not in the top 5% of the UK's Grammar and Spelling population, though.


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Martyn Pittuck
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Posted: 23rd Feb 2004 09:33
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not late in the evening afer 4 hours of study, cramming for a test this morning.

lol

and as for spelling, never could thats why i like numbers.

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