All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Just Math
Sine River (Posted on 2024-06-14) Difficulty: 3 of 5
The Sine River is located between y = sin(x) and y = 1 + sin(x) (x in radians, not degrees).
Your starting point is on the shore, at location (0,0) and your destination is location (5,1).

Your running speed is 1 unit per minute.
Your swimming speed is 1/2 units per minute.

Your plan is to divide the trip into three legs (run, then swim, then run) each leg being a straight line. Assuming there is no current in the river (and no wind), what is the minimum travel time to the destination, and by what pathway?

No Solution Yet Submitted by Larry    
No Rating

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Puzzle ThoughtsK Sengupta2024-06-14 23:41:21
re: computer solution -- an asideCharlie2024-06-14 22:10:02
re: computer solution -- an asideCharlie2024-06-14 22:10:02
SolutionPartial analytic solution w/graphsJer2024-06-14 13:57:26
Solutioncomputer solutionCharlie2024-06-14 13:11:51
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (7)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information