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

Home > General
Circular Jogging Track Problem (Posted on 2006-04-12) Difficulty: 3 of 5
Three friends A, B and C regularly jog in circular jogging track every morning. The track is 1000 m in circumference.

A takes 8 mins to complete one lap, B takes 10 mins and 40 secs and C takes 12 mins. One day they decided to find out if they set out together in the same direction from a point what would be the fastest time for all of them to meet at any point on the track. What did they conclude?

The second day C decides to run in the opposite direction from the starting point. When will they all meet? Will this be sooner than the time taken on day one? Where do they meet in both cases?

See The Solution Submitted by Salil    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): A start? | Comment 3 of 9 |
(In reply to re: A start? by Charlie)

Thanks Charlie!  Assuming you're right (and in my relatively short time here on the site, it seems like you're always right), it's great to see the explanation for the second part.  It was one of those where I was pretty confident in my instincts, but as usual I wasn't sure how to actually prove it or explain it.
  Posted by tomarken on 2006-04-12 11:01:34

Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (4)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (1)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2019 by Animus Pactum Consulting. All rights reserved. Privacy Information