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Thread: Help with this straight forward question

  1. #1
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    Default Help with this straight forward question

    Need to put this in report but differnet pple got differnet ways to calculate this.

    Machine A finish the job in 1 second

    Machine B finish the job in 5 seconds

    Conclusion :
    Machine A is ___% faster than Machine B

    What is your answer? remeber the key word is "faster than".

    What about this?
    Machine A is ___% as fast as Machine B

    think until headache liao

  2. #2

    Default Re: Help with this straight forward question

    80% faster

    A =1 second
    b = 5 seconds

    so 4 seconds faster

    4 seconds out of 5 seconds = 80%

  3. #3
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    Default Re: Help with this straight forward question

    hmm...why is it not 4 sec out of 1 sec = 400%??

    since Machine A is the main subject

    Machine A is 4 times faster than Machine B right?

    4 times = 400%

  4. #4
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    Default Re: Help with this straight forward question

    How about:
    Machine A is 4 times faster than Machine B,
    as Machine A can process 4 times more than the same amount of time while Machine B doing the same process.

    Does it mean that Machine A is 400% faster than Machine B???


    opps I am late...
    Sony Alpha 700 hobbyist

  5. #5

    Default Re: Help with this straight forward question

    In the time that machine B completes its task. Machine A would have done it 5 times.. so its 5x (500%) faster.

  6. #6
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    Default Re: Help with this straight forward question

    My answer is 400%

  7. #7
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    Default Re: Help with this straight forward question

    Quote Originally Posted by Wai
    Need to put this in report but differnet pple got differnet ways to calculate this.

    Machine A finish the job in 1 second

    Machine B finish the job in 5 seconds

    Conclusion :
    Machine A is ___% faster than Machine B

    What is your answer? remeber the key word is "faster than".

    What about this?
    Machine A is ___% as fast as Machine B

    think until headache liao
    Machine A is 4 secs faster than Machine B.
    Machine A is 1/5 times as fast as Machine B.

    Convert to %
    Machine A is 4/5 x 100% = 80% faster than Machine B.
    Machine A is 1/5 x 100% = 20% as fast as Machine B.

    Hope I got it right... I stand corrected of course....
    Damn the bloody English Language...


    Just another 1/2 f-stop please...
    Last edited by Zplus; 30th August 2005 at 04:59 PM.

  8. #8
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    Default Re: Help with this straight forward question

    Ok,
    just my personal understanding, so take with a pinch of salt.

    If machine A took 1 sec and machine B took 1 sec, then A is 100% AS FAST as B but 0% FASTER than B.

    Since machine A took 1 sec and machine B took 5 seconds, then machine A is 4 sec faster than B and is therefore 400% FASTER than B.

    The second question is not answerable without breaking the rules as english grammer, but if I were to guess, I'd say machine A is 500% AS FAST as machine B.

  9. #9
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    Default Re: Help with this straight forward question

    i guess the majority is with 400% here..
    I'm also with 400%.. why not just start a poll?
    “How fortunate for leaders that men do not think.” - Adolf Hitler

  10. #10
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    Default Re: Help with this straight forward question

    Quote Originally Posted by Zplus
    Machine A is 4 secs faster than Machine B.
    Machine A is 1/5 times as fast as Machine B.

    Convert to %
    Machine A is 4/5 x 100% = 80% faster than Machine B.
    Machine A is 1/5 x 100% = 20% as fast as Machine B.

    Hope I got it right... I stand corrected of course....
    Damn the bloody English Language...


    Just another 1/2 f-stop please...
    Gee... I just spotted my own mistake....
    Machine A is 5 times as fast as Machine B.

    Hence,
    Machine A is 5 x 100% = 500% as fast as Machine B.

  11. #11

    Default Re: Help with this straight forward question

    Machine A is 400% faster than Machine B

    Machine A is 500% as fast as Machine B




    "0% faster than" represents same speed (i.e.: as fast as).
    "100% faster than" represents twice as fast.
    therefore, "400% faster than" represents 5 times as fast.




    .

  12. #12
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    Default Re: Help with this straight forward question

    Quote Originally Posted by AReality
    Machine A is 400% faster than Machine B

    Machine A is 500% as fast as Machine B




    "0% faster than" represents same speed (i.e.: as fast as).
    "100% faster than" represents twice as fast.
    therefore, "400% faster than" represents 5 times as fast.




    .
    i agreed with this.

  13. #13
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    Default Re: Help with this straight forward question

    thanks everyone, will follow the majorities' answer and use 400% faster

  14. #14

    Default real maths

    let speed of A be "a" jobs per unit time
    let speed of B be "b" jobs per unit time

    suppose A and B both start to do x number of jobs

    from given data,
    for A: a = number of jobs done/time taken = x/1 = x -----(1)
    for B: b = number of jobs done/time taken = x/5 -----(2)

    substitute (1) into (2) : hence b = x/5 = a/5
    i.e. a = 5b ------(3)

    thus speed difference = a-b = 5b-b =4b [using equation (3) ]
    percentage difference = (4b/b) x 100% =400%


    hence Machine A is 400% faster than Machine B


    comparing speed again, a/b = 5b/b = 5 [using equation (3) ]
    expressed as percentage: (a/b) x 100% = 5x100% =500%

    hence Machine A is 500% as fast as Machine B

    [Q.E.D]

    PS: the main idea here is to try to obtain equation (3), which states that a=5b i.e. it directly tells you that machine A is 5 times as fast as machine B. with equation (3), all other related questions can be solved

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