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Algebra

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A boat can travel upstream 14 miles in same it can travel downstream 8 miles. the boat is traveling 13 miles per hour. what is the current

  • Algebra -

    You have these reversed, faster downstream
    speed upstream = 13 - v
    speed downstream = 13 + v
    time = distance/rate
    14/(13+v)= 8/(13-v)
    182 - 14 v = 104 + 8v
    22 v = 78
    v = 3.55 mph

    check
    speed downstream = 3.55+13 = 16.54
    time downstream = 14/16.54 = .846 hr
    speed upstream = 13 - 3.55 = 9.45
    9.45 * .846 = 7.99 ok check

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