The Seemingly IMPOSSIBLE Cyclist And Motorcycles Riddle

Thanks to Alessio from Italy for creating this problem and sending it to me! A cyclist and a series of motorcycles are racing to the top of a long climb, and the cyclist doubles back. Given how many motorcycles passed the cyclist, can you figure out the motorcycles’ speed? (precise wording in video, too long to fit here). From the scant information provided, can you figure it out? I present two solutions in the video. Do watch the entire video as the geometry solution is quite satisfying.

My blog post for this video:
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My Books
“The Joy of Game Theory” shows how you can use math to out-think your competition. (rated 3.8/5 stars on 31 reviews)
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“The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias” is a handbook that explains the many ways we are biased about decision-making and offers techniques to make smart decisions. (rated 5/5 stars on 2 reviews)
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“Math Puzzles Volume 1” features classic brain teasers and riddles with complete solutions for problems in counting, geometry, probability, and game theory. Volume 1 is rated 4.4/5 stars on 13 reviews.
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“Math Puzzles Volume 2” is a sequel book with more great problems. (rated 5/5 stars on 3 reviews)
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“Math Puzzles Volume 3” is the third in the series. (rated 3.8/5 stars on 4 reviews)
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“40 Paradoxes in Logic, Probability, and Game Theory” contains thought-provoking and counter-intuitive results. (rated 4.3/5 stars on 12 reviews)
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“The Best Mental Math Tricks” teaches how you can look like a math genius by solving problems in your head (rated 4.7/5 stars on 4 reviews)
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“Multiply Numbers By Drawing Lines” This book is a reference guide for my video that has over 1 million views on a geometric method to multiply numbers. (rated 5/5 stars on 3 reviews)
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