A courier pigeon departs Las Vegas for Reno at the same time as another courier pigeon departs Reno for Las Vegas. Both pigeons fly at constant speeds, although different from each other. They cross paths 2x miles from Las Vegas. After each arrives at their destination they immediately turn around, going back and forth without breaks. They cross paths the second time x miles from Reno.
Where will they cross paths the third time?
(In reply to
my solution by Cory Taylor)
gah - mistakes! I meant that the birds meet for the third time just as one of the birds is completing its second journey.
This means that the solution isn't on the border of two cases. However, evaluation of the fast reno bird has its only solution d=0 (which is what confused me), while my evaluation of the fast Las Vegas bird remains correct.
Unless I've made other mistakes....
re: my solution
