tag:blogger.com,1999:blog-3098638925089993315.post8773512751840310224..comments2023-04-26T19:21:06.970+05:30Comments on KodeKnight: Fox and DuckKinshuk Chandrahttp://www.blogger.com/profile/01344610750518430564noreply@blogger.comBlogger1125tag:blogger.com,1999:blog-3098638925089993315.post-49135197381137785422014-10-02T10:49:18.774+05:302014-10-02T10:49:18.774+05:30It is not possible. If the duck and fox are at the...It is not possible. If the duck and fox are at the most optimal position, that would mean the duck is in the center of the circular pond. And the fox can be anywhere on the edge, and that distance would be the same, which is one radius which equals .5 diameter (.5d). If the duck travels to the edge of the pond (.5diameter) and takes x amount of time, the fox can cover a distance of .5 diameter x 4 in the same amount of time. In an optimal situation, the duck travels to the opposite side that the fox is waiting on. The fox will have to travel half way around the circle, which is half the circumference. The circumference of a circle is pi x diameter(d), and since we are traveling half the circle, it would be 3.14 x .5d which is 1.57d. The fox travels a distance of 1.57d where the duck travels a distance of .5d, since it is in the center of the pond and travels straight to a point. The fox is 4 times faster, but traveling a distance of roughly 3 times more. Hence the duck would be eaten even with an optimal strategy. - E.MoneyAnonymousnoreply@blogger.com