imperialcollege (Instagram)sourcephotoTime for a little
brainteaser from our Department of Mathematics:
3 dogs are equidistantly distributed on the circumference of a circle of radius R. Suddenly, at t = 0, the dogs enter a race where each chases his nearest (counter-clockwise) neighbour. Assume that for t > 0 each dog runs at a constant speed V at a heading always directed towards its
neighbour. These are special dogs capable of immediately accelerating from rest.
Will the dogs ever catch up with each other?
#imperialcollege #maths #brainteasers