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  • An excursion boat takes 1.5 times as long to go 360 miles up a river than to return. If the boat cruises at 15

    miles per hour in still water, what is the rate of the current?

    This question was asked before. Below is the best answer, but it doesn't check out. By his math, the boat takes 4.8 hrs upstream and 1.6 downstream. That is not 1.5 as the question dictates. I can set the problem up, but have long forgotten the algebra to actually solve it. The problem is making me nuts. I want the answer and supporting equations please.

    ORIGINAL WRONG ANSWER

    I cannot believe the previous answers!

    The length of the river is irrelevant. It's all down to the speed of the river.

    If the boat is traveling at 15mph from A to B for 1.5 hours it will travel 22.5miles in still water. If it travels 15mph from B to A for 1hour it will travel 15 miles. Therefore the speed of the river is 7.5 mph (the difference between 22.5 and 15).

    Also doesn't matter if it's fresh water, sea water, mercury, a river of liquid nitrogen.

    Hope this helps Bigpathome.

    2 AnswersMathematics1 decade ago