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Math Help - a maths problem

  1. #1
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    a maths problem

    hello i wanted to ask a maths problem i'm in year 11 in victoria, australia. i'm doing general maths advanced which is the hardest maths in my year level.....ok here it is...a cyclist goes up a long slope at a constant speed of 15 km/h he turns around and comes down the slope at constant spped of 40 km/h find his average speed over a full circuit...this is the problem..i have doing maths from last 24 hours and i'm really tired i tried it at 1 pm last night but couldn't because i wanted to sleep anyway...i hope someone helps me....(the answer is 240/1 km/h i only want to know how did they get it ) thnx in advance
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  2. #2
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    Quote Originally Posted by ziggy777 View Post
    hello i wanted to ask a maths problem i'm in year 11 in victoria, australia. i'm doing general maths advanced which is the hardest maths in my year level.....ok here it is...a cyclist goes up a long slope at a constant speed of 15 km/h he turns around and comes down the slope at constant spped of 40 km/h find his average speed over a full circuit...this is the problem..i have doing maths from last 24 hours and i'm really tired i tried it at 1 pm last night but couldn't because i wanted to sleep anyway...i hope someone helps me....(the answer is 240/1 km/h i only want to know how did they get it ) thnx in advance
    Here is an outline - the details are left for you:

    Up the slope: t_1 = \frac{L}{15}

    Down the slope: t_2 = \frac{L}{40}

    Average speed = \frac{2L}{t_1 + t_2}.
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  3. #3
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    wait a minute this is a new formula where did you get that? what is L would you please explain..

    thank you for your quick help...
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  4. #4
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    L would be the distance travelled up or down the slope.
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  5. #5
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    Quote Originally Posted by Prove It View Post
    L would be the distance travelled up or down the slope.
    I was hoping that someone "doing general maths advanced which is the hardest maths in my year level" would figure that out.

    Distance = (speed) (time) ....
    Last edited by mr fantastic; March 21st 2009 at 11:12 PM.
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  6. #6
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    Quote Originally Posted by mr fantastic View Post
    I was hoping that someone "doing general maths advanced which is the hardest maths in my year level" would figure that out.

    Distance = (speed) (time) ....
    Everyone draws a blank every now and then Mr F...
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