Car washing

Discussion in 'Physics & Math' started by Pim, May 27, 2003.

  1. ryans Come to see me about a dog hey Registered Senior Member

    Messages:
    995
    How did you get your answers Algebra, computer, calculus? I am hanging to see what the correct answer is. I have checked my working and I cannot see any errors, but that is not to say that I did not make any.

    Just to repeat, I got 83 drums.
     
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  3. patty-rick Registered Senior Member

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    127
    i made mine the old fashion way , a nice diagram
     
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  5. Persol I am the great and mighty Zo. Registered Senior Member

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    5,946
    I did it using a calculator, but now that I think about it (spoiler?) using 'sub-stations' every 1 mile instead of 50 may bring the number down(end spoiler)
     
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  7. patty-rick Registered Senior Member

    Messages:
    127
    i would think that would use more... as more back tracking
     
  8. Persol I am the great and mighty Zo. Registered Senior Member

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    5,946
    Yeah, just tried... it does use more. Common ryans, post the solution in white. I want to see the nswer so I can go to sleep

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  9. patty-rick Registered Senior Member

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    127
    therefore, 50 miles is the longest distance between stations possible cause anyfurther and u cant get back
     
  10. ryans Come to see me about a dog hey Registered Senior Member

    Messages:
    995
    I think every 50 miles would be the optimum distance as it is exactly half the distance that can be travelled on one tank. If you say 1 mile, why not half a mile, why not a centimetre. 50 miles seems to make sense don't you think?
     
  11. patty-rick Registered Senior Member

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    127
    yeah and you use up half of your fuel -1/2 a tank each station u move along
     
  12. ryans Come to see me about a dog hey Registered Senior Member

    Messages:
    995
    Janus58, don't you think it is about time you put us out of our misery?

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  13. Janus58 Valued Senior Member

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    2,397
    So far, everyone is still on the high side.
     
  14. patty-rick Registered Senior Member

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    127
    so below 90 tanks?
     
  15. patty-rick Registered Senior Member

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    127
    i have it!!!! 70 drums are needed!!!!
     
  16. ryans Come to see me about a dog hey Registered Senior Member

    Messages:
    995
    How did you get 70 patty-rick?
     
  17. patty-rick Registered Senior Member

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    127
    i have looked over and it doesnt seem to work any more
     
  18. patty-rick Registered Senior Member

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    127
    if you use 103 tanks at the start then u use 51.5 tanks to get 50 miles into the desert. so u have 51.5 tanks at 50 miles

    then to get to 100 miles in you use 25.5 tanks and you have 26 left at 100 miles in.

    to get to 150 tanks in you use 12.5 tanks so u have 13.5 tanks left at 150 miles.

    you use 6.5 tanks to get that to 200 miles in so u have 7 tanks left at 200 miles.

    you use 3.5 tanks to get to 250 miles so u have 3.5 tanks left at 250 miles

    use 1.5 litres to get to 300 miles so u have 2 tanks at 300 miles which is enough to get you the last 200 miles.


    rules are simple if you have an even/odd/or half number of barrels and you want to get to the next station 50 m away

    if you have an even number of barrels you will be left with 1/2 the original number + 1/2 a barrel.

    if you have an odd number of barrels you will left with exactly half the number you started with.

    if you have 1/2 amount of barrels you will be left with half the original + 1/4 of a tank.

    these rules are constant and i dont see how you could get another answer other than what i got
     
  19. ryans Come to see me about a dog hey Registered Senior Member

    Messages:
    995
    I can't see how this works. The answer I came up with was by progressively penetrating deeper into the desert until there were tanks at 100, 200 and 300 miles, then you can jump across the desert with the 2 tanks you have on board and the ones placed in the desert. The thing you have to find is the cost of placing the tanks in the desert in this configuration. This way I got 83 barrels.
     
  20. one_raven God is a Chinese Whisper Valued Senior Member

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    13,433
    I got 64.

    I will post my math in a few minutes.

    I hope I didn't miss something and look like a big fat fool!

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  21. patty-rick Registered Senior Member

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    im interested to see it
     
  22. one_raven God is a Chinese Whisper Valued Senior Member

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    13,433
    I DID miss something.

    When I went through it I found the same answer as Ryans.

    I started with 64 and worked my way up.

    I am sure I am missing something here because all you need is two drums at 300 miles, and two drums at 100 miles to make it through.

    I decided to post the way I was reasoning it out and maybe someone will see my flaw and find out how to reduce it.

    I can't help but think it can be done in just over 64 barrels, but my mind doesn't seem to agree witm me right now.

     
    Last edited: Jun 2, 2003
  23. MacM Registered Senior Member

    Messages:
    10,104
    GWBASIC

    I wrote a program in GWBASIC to count the trips to stock weigh stations until I had enough fule to complete the trip without returning.

    But apparently I made some bad or unecessary drops getting there, in the program.

    You know garbage in garbage out.
     
    Last edited: Jun 2, 2003

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