Alex and Bert have the same walking speed and the same running speed. They both decide to take a lap around the same track.

Alex walks to a point and then runs such that one half of the distance is spent walking and the other half is spent running.

Bert walks to a point and then runs such that one half of his time is spent walking and the other half is spent running.

Who finishes first?

Assuming Alex and Bert start together, and the thier running speed is faster than walking, Bert will win. Bert will travel a longer distance running, the amount equal to the the running speed divided by the (running speed + walking speed) multiplied by the total distance.  This fraction is > 0.5 given the assumptions above, which is what Alex does.

Posted by Kenny M on 2019-02-12 10:08:12