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13 November, 08:43

It takes three hours for a boat to go 18 miles downstream, and nine hours to return. What is the rate of the boat in calm water and the rate of the current?

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  1. 13 November, 11:43
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    Step-by-step explanation:

    Distance = rate * time

    If B is the rate of the boat, and C is the rate of the current, then we can write two equations:

    18 = (B + C) * 3

    18 = (B - C) * 9

    Simplifying the equations:

    6 = B + C

    2 = B - C

    Add the equations together to eliminate C:

    8 = 2B

    B = 4

    Plug into either equation to find C:

    C = 2

    The boat's rate is 4 mph, and the current's rate is 2 mph.
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