JeepDate: 04/07/97 at 06:43:18 From: Anonymous Subject: Jeep! A jeep can carry 200 liters of gasoline. The jeep can drive 2.5 km/l. You want to travel 1000 km and you can only fill up gasoline at the start and the finish. To be able to drive the 1000 km you have to place gasoline on the way. How much gasoline do you need and where are the best places to put the gasoline? Date: 04/07/97 at 17:14:42 From: Doctor Ken Subject: Re: Jeep! Hi there- This problem reminds me of the old "camel and bananas" problem. It's not quite the same, but it's similar. You can check that out at http://mathforum.org/dr.math/problems/berkman.11.18.96.html In order to figure out the answer to your question, we'd need to know more about what you mean by the "best" places to put the gasoline. There are several ways you might set it up: you might say that you want to place gas at the fewest number of places along the route, or perhaps you want to place them so that the amount of gas in your Jeep never goes below a certain level, or something like that. So there are many different solutions. One funny solution would be to start out with 2.5 liters of gas in the Jeep, and place 2.5 liters of gas every kilometer along the route. Regardless of where you put your gas cans, you'll use the same amount of gas if you travel exactly 1000 km and use exactly 2.5 liters of gas per kilometer - you'll always use exactly 2500 liters of gas in the trip. -Doctor Ken, The Math Forum Check out our web site! http://mathforum.org/dr.math/ |
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