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Math Help - Calculating distance road

  1. #1
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    Calculating distance road

    Hello,

    I struggle for a long while with solving this problem, but can't seem to find a solution. I'm not really a mathematical genius.
    On asks to calculate the quickest route from A to B (by foot).
    There are 2 ways to get there:
    1. From A to X at 5 km/h and then from X to B at 2 km/h -> this route takes 16 minutes 59 seconds
    2. From A to Y at 5 km/h and then from Y to B at 2 km/h -> this route takes 19 minutes 25 seconds

    The aim is to find out what the distance is
    From A -> X and X -> B
    From A -> Y and Y -> B

    There are a few catches .
    - The angle between A-> X and A-> Y is 95, but I do not know whether this is important.
    - The angles between A-> X and X-> B and also A-> Y and Y-> B are not necessarily 90

    Thus Pythagoras is in my eyes not suitable for solving this problem.

    How should I deal with this problem? Preferably as understandable as possible please.

    Thanks

    Eddy
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  2. #2
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    i fail to see how you can solve this problem with the information given.

    i do believe you need at least some other angle measure or statement about parallelism of side or something here....

    are you sure this is all that you have?
    -emily
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  3. #3
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    Quote Originally Posted by mlemilys View Post
    i fail to see how you can solve this problem with the information given.

    i do believe you need at least some other angle measure or statement about parallelism of side or something here....

    are you sure this is all that you have?
    -emily
    I agree with emily, to many variables to set up some similtaneous eqautions.
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  4. #4
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    Quote Originally Posted by mlemilys View Post
    i fail to see how you can solve this problem with the information given.

    i do believe you need at least some other angle measure or statement about parallelism of side or something here....

    are you sure this is all that you have?
    -emily
    This all I have. Additionally I can say:
    Walking through the forest is possible at 2 km/hour, walking along one of these two roads (
    A->X or A->Y) at 5 km/hour .
    If you from a straight line from A->B you need to walk 2km/h
    The quickest ways to reach the B are by following these roads and then walking in a straight line to B. There is no info about the angles A->X and X->B nor A->Y and Y->B
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