There are four dogs, each at a corner of a large square.
Each of the dogs begins chasing the dog clockwise from it.
All of the dogs run at the same speed. All continuously
adjust their direction so that they are always heading
straight toward their clockwise neighbor. How long does it
take for the dogs to catch each other? Where does this
happen?
More Puzzles
Blog Archive
-
▼
2008
(84)
- March 2008 (19)
- April 2008 (2)
- May 2008 (2)
- July 2008 (4)
- August 2008 (6)
- September 2008 (10)
- October 2008 (10)
- November 2008 (5)
- December 2008 (26)
-
►
2009
(73)
- January 2009 (16)
- February 2009 (6)
- March 2009 (6)
- April 2009 (8)
- May 2009 (5)
- June 2009 (6)
- July 2009 (5)
- August 2009 (4)
- September 2009 (4)
- October 2009 (2)
- November 2009 (4)
- December 2009 (7)
-
►
2010
(28)
- January 2010 (1)
- February 2010 (4)
- March 2010 (5)
- April 2010 (4)
- May 2010 (2)
- June 2010 (1)
- July 2010 (1)
- August 2010 (2)
- September 2010 (1)
- October 2010 (1)
- November 2010 (2)
- December 2010 (4)
-
►
2011
(25)
- January 2011 (3)
- February 2011 (4)
- March 2011 (3)
- April 2011 (3)
- May 2011 (1)
- June 2011 (1)
- July 2011 (1)
- August 2011 (3)
- September 2011 (1)
- October 2011 (2)
- November 2011 (2)
- December 2011 (1)
-
►
2012
(10)
- January 2012 (2)
- March 2012 (1)
- April 2012 (1)
- May 2012 (1)
- July 2012 (1)
- September 2012 (1)
- October 2012 (1)
- November 2012 (1)
- December 2012 (1)
-
►
2013
(1)
- November 2013 (1)
-
►
2014
(12)
- February 2014 (3)
- March 2014 (1)
- April 2014 (1)
- May 2014 (1)
- September 2014 (1)
- October 2014 (1)
- November 2014 (3)
- December 2014 (1)
-
►
2015
(52)
- January 2015 (8)
- February 2015 (13)
- March 2015 (7)
- April 2015 (4)
- May 2015 (3)
- June 2015 (1)
- July 2015 (2)
- August 2015 (2)
- September 2015 (3)
- October 2015 (4)
- November 2015 (3)
- December 2015 (2)
-
►
2016
(13)
- January 2016 (2)
- February 2016 (1)
- April 2016 (1)
- May 2016 (5)
- June 2016 (2)
- October 2016 (1)
- December 2016 (1)
-
►
2017
(3)
- February 2017 (3)
7 comments:
gud ques dude..
in the following manner on walking the dogs make a spiral..which ultimately coincides at the centroid of the given figure..if fact true for all regular figires...for a square the co-inciding occures at its centre...
for a square of edge "a" and if speed of each dog is "v".
then, all four dogs meet at the centre after a/v time.
isn't it forever-.-?
since they are at the corner.. they will be always running straight rite?
There's only one path in it, they have not mentioned any spiral paths, correct me if i am wrong
they meet center of the square
They run into spiral form, since they are heading directly to thier clock-wise partner. and not to the location they sat.
they will meet at the center of the square:
Final displacement :l/sqrt(2)
velocity component in this direction: v cos 45
So time taken: l/v
Post a Comment