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Re: Solution to a problem!!



At 22:47 10/27/98 -0600, you wrote:

The philosopher considers the problem in this way:

Since J sprints faster than J rows, J wants to minimize rowing time, and
thus should row directly toward the opposite shore. Since the river is 1
km wide and rowing speed in still water is 6km/hr it will take 10 minutes
to reach the opposite shore. With the current of 4 km/hr, J will be 2/3
km downstream from the supposed beloved to be. Sprinting along the shore
2/3 km at 10 km/hr will take 4 minutes. So the total time for this
approach is 14 minutes....
Richard Grandy

Then, he discovers the possibility that if J expends some time
inefficiently rowing slightly upstream, he may save some time running even
though this is his more efficient process. For this strategy to be
effective, it is important that he aims no further upstream than that which
causes the increase in rowing time
to be less than the decrease in running time....



brian whatcott <inet@intellisys.net>
Altus OK

The philosopher yields to the mathematician.