18. The current in the Red Cedar River is 6 mph. A canoe can travel 7 miles downstream in the same time that it takes to travel 3 miles upst

Question

18. The current in the Red Cedar River is 6 mph. A canoe can travel 7 miles downstream in the same time that it takes to travel 3 miles upstream when paddled at the same rate. Set up (but do not solve) a rational equation that could be used to find the rate the canoe is paddled, using x as this rate

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Adela 4 years 2021-07-31T06:52:37+00:00 1 Answers 84 views 0

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    2021-07-31T06:53:52+00:00

    Answer:

    7/(6 + x) = 3/(6 – x)

    Step-by-step explanation:

    The current of the Red Cedar River (the speed with which the river is flowing), v = 6 mph

    The time it takes the canoe to travel 7 miles downstream = The time it takes the canoe to paddle 3 miles upstream

    Let x represent the rate of the canoe, we have;

    7/(v + x) = 3/(v – x)

    Substituting v = 6 mph, we get the following rational equation, from which the rate of the canoe, x, can be found;

    7/(6 + x) = 3/(6 – x).

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