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Math Help - algebra problem : figuring out the speed of boat and water

  1. #1
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    algebra problem : figuring out the speed of boat and water

    I have the algebra problem:

    If a boat goes downstream 72 miles in 3 hours and upstream 60 miles in 6 hours, the rate of
    the river and the rate of the boat in still water respectively are ________?
    a. 7 &16 mph
    b. 7&17
    c. 6 &17 mph
    d. 6 &18
    e. none

    I know the forumla is r x t = d however i come up with 26 & 10
    am i approaching this incorrectly?
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  2. #2
    Senior Member BAdhi's Avatar
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    if u is the velocity of the boat and v is the velocity of the river,

    (U+V)*3=72
    (U-V)*6=60
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  3. #3
    Junior Member BobBali's Avatar
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    Yes, the formula for finding out speed (rate) > [tex]Distance (miles)/Time (hours) = Speed (miles/Hr)[math/]

    However, in your question it says to find the respective rates of the river in stillwater. Also, it does not make sense when it talks about the rate of the river going upstream, water always flows downstream and in stillwater there will be no flow/speed/rate. The boat will be stationary. Answer, is e.
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  4. #4
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    Hi BobBali,
    Thr question asks for the rate of the river and the rate of the boat in still water.Respectively refers to the order of the answers


    bjh
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