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Math Help - Worded algebra problem #2.

  1. #1
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    Worded algebra problem #2.

    Dear Sir ,
    I hope someone can help me in the below question.
    Thanks
    Kingman

    Two old women started at sunrise and each walked at a constant velocity. One went from A to B and the other from B to A. They met at noon and, continuing with no stop, arrived respectively at B at 4 p.m. and at A 9 p.m. At what time was the sunrise on this day?
    Last edited by mr fantastic; March 14th 2011 at 07:33 PM. Reason: Re-titled.
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  2. #2
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    The two women started at the same time and walked with constant (but not the same) velocity. If sunrise was "x" hours before noon then the first woman walked for 4+ x hours and the second for x+ 9 hours. Let the distance from A to B be "d" km. The first womans speed was d/(x+ 4) km/hour and the second's d/(x+ 9).

    They met at noon- x hours after starting. The first woman walked dx/(x+4) km in that time and the second woman walked dx/(x+9) km. Since they met at noon, the total distance walked was d km: dx/(x+4)+ dx/(x+9)= d You can divide through by d to cancel it and have a single equation left to solve for x.

    That's pretty good for two "old women"!
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  3. #3
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    the hint is: 'use similar triangle' which i do not know how to start.
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