Solution 13

Each car has to drive exactly 1 km. As all the cars all drive equally fast in each moment, they will all the time drive in directions that will keep being in 90 angle to each other. Each of the cars thus approaches its target in a rate that is the same as the car speed over ground. The speed is not interesting per se as the cars moves in the same speed. But also the approached distance is exactly the same as the distance over ground! The total length each car has to drive before they all collide is the same as the original distance that was 1 km.

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Last updated: 03-04-25 by Ingvar Jönsson