A boat travels 26 miles up a river in the same amount of time it takes to travel 38 miles down the same river. If the current is 3 mph, what

Question

A boat travels 26 miles up a river in the same amount of time it takes to travel 38 miles down the same river. If the current is 3 mph, what is the speed of the boat in till water?

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Answers ( No )

  1. Emma
    0
    2021-11-26T09:11:31+00:00

    Let the speed of the boat in still water = X

    The current is 3 mph, so the speed of the boat going upstream would be x-3

    Speed of the boat going down stream would be x +3

    The trip upstream is 26 / x-3

    The trip downstream is 38 / x+3

    Set them to equal and solve for x:

    26/x-3 = 38/x+3

    Multiply both sides by (x+3)(x-3):

    38(x-3) = 26(x+3)

    Simplify:

    38x – 114 = 26x+78

    Subtract 26x from each side:

    12x -114 = 78

    Add 114 to each side:

    12x = 192

    Divide both sides by 12:

    x = 192 / 12

    x = 16

    The speed is 16 miles per hour.

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