Here is a fairly vaguely-presented puzzle; it's more of a topic for thought. I'm afraid it's completely politically-incorrect, and please, reader, feel free to change the genders of the subjects at will. I cannot say how I came to be aware of this one, all people and places are imaginary, and any likeness to me persons living or dead is purely coincidental.
In the city of Tiklischk'hoff, the road linking the Friedrich Rotnase Universitaet to the Stadtzentrum is quite long. The students habitually pedal to and from the university on their bicycles, starting off in both directions at random intervals throughout the day.
Three lecherous young men happen to set off from the University at the same moment. One is an average cyclist, the next a rather unfit one who cycles at half-speed, and the remaining gentleman wears lycra a lot and cycles at twice the average speed. All three enjoy looking out for attractive female students in short skirts on their bicycles. Which of the three gentlemen is likely to enjoy the most satisfying journey? You may take it that no student is less fit than our unfit gentleman, and no one can out-cycle the gentleman in lycra. Ladies are, of course, every bit as fit as gentlemen.
The puzzle-purist may protest that I haven't provided sufficient data. If you wish to be quantitative about this, feel free to take the relative speeds of cyclists to follow a normal distribution with any sensible width, subject to the statement that the area under the curve is insignificant beyond the point of our two extremes of fitness.
In the city of Tiklischk'hoff, the road linking the Friedrich Rotnase Universitaet to the Stadtzentrum is quite long. The students habitually pedal to and from the university on their bicycles, starting off in both directions at random intervals throughout the day.
Three lecherous young men happen to set off from the University at the same moment. One is an average cyclist, the next a rather unfit one who cycles at half-speed, and the remaining gentleman wears lycra a lot and cycles at twice the average speed. All three enjoy looking out for attractive female students in short skirts on their bicycles. Which of the three gentlemen is likely to enjoy the most satisfying journey? You may take it that no student is less fit than our unfit gentleman, and no one can out-cycle the gentleman in lycra. Ladies are, of course, every bit as fit as gentlemen.
The puzzle-purist may protest that I haven't provided sufficient data. If you wish to be quantitative about this, feel free to take the relative speeds of cyclists to follow a normal distribution with any sensible width, subject to the statement that the area under the curve is insignificant beyond the point of our two extremes of fitness.