Can you solve The Frog Problem?

Check out more fun mathematics problems at Jane Street's Real Numbers.
https://www.janestreet.com/real-numbers/

If you want to have a guess for a river width of 10 (nine lily pads and the opposite bank) then put your guess with the word "guess" in the comments below. If anyone does work out the average guess: let me know!

If you have a solution: put that below as well. Be sure to like and comments which you think have cracked the problem.

Thanks to Ben Gillott for sharing the puzzle with Timandra.

My show "Humble Pi" had a sold-out run at the Fringe and will now be on tour around the UK. Dates and details: http://standupmaths.com/shows/

Timandra has a few more dates for "Take a Risk" and also has a podcast by the same name: https://takeariskshow.com/

Bec Hill is never performing "I'll Be Bec" again but is always doing a million other things: http://www.bechillcomedian.com/

Rob West will be on tour with "Morgan and West: Unbelievable Science" as well as about a dozen magic shows: http://www.morganandwest.co.uk/live-d...

Git your code here! https://github.com/standupmaths/frog_...

We have Think Maths "Frog Jumps" resources for maths teachers.
http://think-maths.co.uk/standupmaths...

CORRECTIONS
None yet, let me know if you spot anything!
Oh, and this is not really a correction, more of an explanation, but you can see some dark stains on my hands in some shots of this video. That is because I helped Morgan and West load their science show out of the theatre at the end of the Fringe and my reward was to get silver nitrate on me.

Thanks as always for Jane Street being my principal sponsor.
https://www.janestreet.com/

Thanks to my Patreon supporters who help make these videos possible. Here is a random subset:

Bruce Patterson
Glenn Watson
Matthew Holden
Patrick Thiel
Adam Scatchard
William Marple

Support my channel and I can make more maths videos:
  / standupmaths  

Filming by Matt Parker
Editing by Alex Glenn-Bash
Music by Howard Carter
Design by Simon Wright

MATT PARKER: Stand-up Mathematician
Website: http://standupmaths.com/
Maths book: http://wwwh.umble-pi.com
Nerdy maths toys: http://mathsgear.co.uk/