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Cycle spotters

Cycle spotters

(OP)
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.

RE: Cycle spotters

Spoiler:

The unfit cyclist sees more young lovelies because he spends more time on the road than the other two.

RE: Cycle spotters

(OP)

Spoiler:


mintjulep, I agree, but there's a slightly more interesting competition between the average gentleman and Mr Lycra. For simplicity, let's imagine that every other traveller is exactly average, that the journey takes 1 hour, and that cyclists set off in both directions every minute. This means that at any given time, the road has 60 cyclists heading one way, and 60 heading the other way.

Mr Slow takes 2 hours. This means he passes 180 coming the other way (60 were already on the road, 120 set off during the 2 hours, and he will meet all. Meanwhile he is overtaken by everyone who sets off in the first hour after he leaves, which is another 60, so he meets 240 cyclists in total.

Mr Average takes 1 hour. He meets 60 who were already coming the other way on the road, and another 60 who set off during that hour, 120 in total, but he doesn't see any going in the same direction as him, because everyone is going the same speed. No one passes him, he passes no one.

Mr Fast takes 30min. He meets 60 coming the other way who were already on the road, and 30 who set off during his journey (sum 90). Meanwhile he passes anyone who set off in the 30 minutes preceding his departure, which is another 30, so he, like Mr Average, meets 120 cyclists in total.

The moral: in an average world, there's no point in being better, but sometimes it's nice to take things slloooooow??

Now we have to see how the situation is affected if cyclists vary from average speed...

RE: Cycle spotters

@hmlhml

Hidden:

Even accepting your premise, I feel you've overlooked the "Viewing time". The quantity of time that the "scenery" is in view is just as important as the number viewed. IMHO

**********************************************
What's most important is that you realise ... There is no spoon.

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