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 A boat goes 12 km upstream and 40 km downstream in 8 hours. It can go 16 km upstream and 32 km downstream is the same time. Find the speed of the boat in still water and the speed of the stream.

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    if the bot has speed b, and the stream has speed s, then since time=distance/speed,

    12/(b-s) + 40/(b+s) = 8
    16/(b-s) + 32/(b+s) = 8
    b=6
    s=2

    check:
    12/4 + 40/8 = 3+5 = 8
    16/4 + 32/8 = 4+4 = 8

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