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A motorboat can maintain a constant speed of 16 miles per hour relative to the water. The boat makes a trip upstream to a certain point in 20 minutes and the return trip takes 15 minutes. What is the speed of the current?

  • math -

    at what speed does current is in relative to water

  • math -

    let spped of current be X, when the boat goes upstream, the actual speed of boat= speed of boat-speed of current;when the boat goes downstream, the speed =speed of boat+speed of current

    distance=speed x time
    upstream: (16-X)x 1/3
    downstream:(16+X)x1/4

    since the total distance of the trip doesnt change,
    (16-X)x 1/3=(16+X)x1/4

    solve for x,

    ps:the speed of boat is 16miles/hour,
    dont forget to convert minutes into hour

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