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The traveling ant
Posted 06 December 2012 - 05:33 PM
Imagine an infinitely stretchy elastic band is tied to a tree on one end and to the bumper of a pickup truck on the other end. The truck, with an infinite tank of gas, drives away from the tree on an infinitely long straight road at a constant speed of 10 mph. Andy Ant walks with a constant speed of 0.1 mph relative to whatever surface he is standing on. When the truck has reached a point 0.1 miles from the tree, you place Andy on the elastic band at the tree and start him walking toward the truck.
Does Andy ever reach the truck?
Vidi vici veni.
Posted 06 December 2012 - 09:05 PM
Edited by jamieg, 06 December 2012 - 09:09 PM.
Posted 07 December 2012 - 12:48 AM
This reminds me of a scooter trip I once took on these very boards where I learned a valuable lesson about head-starts.
Posted 07 December 2012 - 01:44 AM
Edited by phil1882, 07 December 2012 - 01:44 AM.
Posted 07 December 2012 - 06:38 PM Best Answer
I think your first sentence is wrong
But you can put it another way:
Edited by Anza Power, 07 December 2012 - 06:40 PM.
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