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Math Help - Need help with a couple of math questions to make sure I answered correctly

  1. #1
    dcbn
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    Need help with a couple of math questions to make sure I answered correctly

    Ques 1:
    A box of nuts cost 44 cents per pound. There are 2,600 pieces in a 100 pound box. How much does it cost for 1,960 nuts?

    I divided 100 into 2,600 which gave me 26 pieces per #
    Then I divided 26 into 1,960 which is 75.38# for 1,960
    Then I took .44 X 75.38 and got $33.1672, rounded off to $33.17


    Ques 2:
    An Airplane goes 500 miles in 1 minute. How long does it take to get to 33,000 feet?

    The answer I came up with this is 6.6 minutes

    Did I figure these out correctly? Your help with this would be greatly appreciated.

    Thanks, in advance
    dcbn
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  2. #2
    MHF Contributor Quick's Avatar
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    For question 1, your work is correct.

    For question 2, some information is missing, what is the angle of elevation?
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  3. #3
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    Quote Originally Posted by dcbn
    Ques 2:
    An Airplane goes 500 miles in 1 minute. How long does it take to get to 33,000 feet?

    The answer I came up with this is 6.6 minutes
    Perhaps, you mean 500 feet in 1 minute, not miles. Thus,
    \frac{500}{1}=\frac{33000}{x}
    Thus,
    x=6.6 \mbox{ minutes}
    Last edited by CaptainBlack; August 20th 2006 at 12:25 AM.
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  4. #4
    Grand Panjandrum
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    Quote Originally Posted by ThePerfectHacker
    Perhaps, you mean 500 feet in 1 minute, not miles. Thus,
    \frac{500}{1}=\frac{33000}{x}
    Thus,
    x=6.6 \mbox{ minutes}
    1. typical speed speeds of airliners are ~500 miles per hour, this speed is
    60 times that, which is faster than the speed needed for orbit (so is probably
    greater than a shuttle reentry speed).

    2. Lets assume that the climb rate is 500 ft/min. Then the time to 33000ft
    is:

    t=33000/500=66\mbox{ min}.

    Dimensionaly (with a slight abuse of dimensional analysis notation) this is:

    <br />
[ \mbox{min} ]=\frac{ [ \mbox{ft} ]}{[ \mbox{ft} ][\mbox{min}]^{-1}}<br />
=  \frac{ [ \mbox{ft} ] [ \mbox{min} ]}{[ \mbox{ft} ]}

    RonL
    Last edited by CaptainBlack; August 20th 2006 at 03:54 AM.
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