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Math Help - CURRENTly...

  1. #1
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    CURRENTly...

    Made this up as my xmas gift to ya'll ! Easy nuff...

    Boat leaves point A, at constant speed b mph,
    against a current of speed c mph for 1st hour.
    The current's speed increases by 1 mph hourly.
    Like, boat nets (1st 3 hours): b-c, b-(c+1), b-(c+2)....

    At point B, after u hours, a hat falls out of
    the boat, and floats with the current towards A,
    and gets to A after travelling for v hours.

    Boat continues for another w hours to point C,
    where it turns around and heads towards A.
    YES, the boat reaches A at same time as the hat!

    Distance AB = d miles, distance BC = e miles.
    Be advised that e - d = 39 miles.
    Please note that w = 6 hours; you're welcome.

    b, c, d, e, u, v, w are all integers.
    Find b and v.
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  2. #2
    MHF Contributor
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    Solution...

    Code:
    b = 38, c = 2,3,4,....
                                       4h                                       10h
    A>.....36.....35.....34.....33.....>B>...32....31....30....29....28....27....>C
    16h
    A<.17.16.15.14.13.12.11.10.9.8.7.6.<B[HAT]
    16h
    A<..........55..........54.........53.........52.........51........50........<C
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