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Thread: Fly : revisited

  1. #1
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    Fly : revisited

    There is a fly and there is a car. Car runs at 10m/sec and fly flies at 20m/sec.
    The fly starts flying from a point X towards the coming car, touches it, and then fly back to X again. It again flies back to car..touches it and den fly back to X. This whole continues till the car reaches X.
    The initial distance between car and X is 1km.
    How much distance the fly travelled in the direction of car?


  2. #2
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    Re: Fly : revisited

    hi

    using the sme concept as i explained in your previous thread
    this time fly will move .93 Kmetres (overall) in direction of car.

    .93 is combination of three parts! (i.e .66+.22+.05)

    bye


    Last edited by vmshenoy; 01-30-2007 at 07:24 AM.
    :)
    NEVER SAY DIE.

  3. #3
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    Re: Fly : revisited

    The answer - for obvious reasons- is 1km. The distance travelled by fly will turn out to be geometric series with a=666.67 and r=1/3. This will be an infinite series converging towards zero.

    Hence, sum = a/(1-r) = 666.67/ (1-.3333) = 1km.

    Cheers!
    Kalayama

    [COLOR="Blue"][SIZE="2"]"If you are not living on the edge of your life, you are wasting space"[/SIZE][/COLOR]

    Someone says "Impossible is nothing". The man next him says "Let me see you licking your elbow tip!"

  4. #4
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    Re: Fly : revisited

    y only 3 terms??


  5. #5
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    Re: Fly : revisited

    hi kalayama
    now wt will be the total distance travelled by fly?


  6. #6
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    Re: Fly : revisited

    Once again, for obvious reasons it should be 2kms (1km + 1km).

    -Kalayama

    [COLOR="Blue"][SIZE="2"]"If you are not living on the edge of your life, you are wasting space"[/SIZE][/COLOR]

    Someone says "Impossible is nothing". The man next him says "Let me see you licking your elbow tip!"

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