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9 September, 14:01

A fishing boat travels along the east coast of the United States and encounters the Gulf Stream current. It travels 23 miles north with the current in 1 hr. It travels 39 miles south against the current in 3 hr. Find the speed of the current and the speed of the boat in still water.

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  1. 9 September, 14:19
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    Speed of the boat 18 mph

    Speed of the current 5 mph

    Step-by-step explanation:

    If it travels 39 miles south against the current in 3 hours then the combination speed is 39/3 = 13 miles/h.

    Let x be the speed of the boat and y be the speed of the current

    With the current: total speed = x + y = 23 mph

    Against the current: total speed = x - y = 13 mph

    We can add up 2 equations:

    x + y + x - y = 23 + 13 = 36

    2x = 36

    x = 18 mph

    y = 23 - 18 = 5 mph
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