Math! Algebra 1!

A boat is traveling in a river with a current that has a speed of 1.5 km/h. In one hour, the boat can travel twice the distance downstream as it can travel upstream. How long will it take the boat to travel 100 km in still water?

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  1. If the still-water speed is s, then since distance = speed*time, then in equal time (say, t=1),

    (s+1.5) = 2(s-1.5)
    s+1.5 = 2s-3
    s = 4.5

    100/4.5 = 22.22 hrs
    or 22 hr 13 min 20 sec

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